I. Heckenberger

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All published works
Action Title Year Authors
+ PDF Chat Pointed Hopf algebras of odd dimension and Nichols algebras over solvable groups 2024 Nicolás Andruskiewitsch
I. Heckenberger
L. Vendramin
+ Mini-Workshop: Bridging Number Theory and Nichols Algebras via Deformations 2024 Giovanna Carnovale
I. Heckenberger
L. Vendramin
+ PDF Chat Bosonization of curved Lie bialgebras 2023 I. Heckenberger
L. Vendramin
+ PDF Chat A characterization of Nichols algebras of diagonal type which are free algebras 2023 I. Heckenberger
Ying Zheng
+ PDF Chat A decomposition Theorem for pointed braided Hopf algebras 2023 I. Heckenberger
Katharina Schäfer
+ Left coideal subalgebras of Nichols algebras 2023 I. Heckenberger
Katharina Schäfer
+ PDF Chat Corrigendum: Liftings of Jordan and Super Jordan Planes 2022 Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
+ Corrigendum: Liftings of the Jordan plane 2022 Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
+ A decomposition Theorem for pointed braided Hopf algebras 2022 I. Heckenberger
Katharina Schäfer
+ On finite GK-dimensional Nichols algebras over abelian groups 2021 Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
+ Examples of Finite-Dimensional Pointed Hopf Algebras in Positive Characteristic 2021 Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
+ PDF Chat Two-cocycles and cleft extensions in left braided categories 2020 I. Heckenberger
Kevin Wolf
+ PDF Chat Nichols algebras of diagonal type 2020 I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
+ Hopf Algebras and Root Systems 2020 I. Heckenberger
Hans‐Jürgen Schneider
+ PDF Chat Nichols algebras 2020 I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
+ Yetter-Drinfeld modules over Hopf algebras 2020 I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
+ PDF Chat Nichols algebras of Cartan type 2020 I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
+ Nichols systems, and semi-Cartan graph of Nichols algebras 2020 I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
+ A braided monoidal isomorphism of Yetter-Drinfeld modules 2020 I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
+ Cartan graphs and Weyl groupoids 2020 I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
+ PDF Chat Basic Hopf algebra theory 2020 I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
+ Nichols algebras over non-abelian groups 2020 I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
+ Right coideal subalgebras of Nichols systems, and Cartan graph of Nichols algebras 2020 I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
+ Quantized enveloping algebras and generalizations 2020 I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
+ Cartan graphs of Lie superalgebras 2020 I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
+ PDF Chat Braided monoidal categories 2020 I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
+ A quick introduction to Nichols algebras 2020 I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
+ PDF Chat On Nichols algebras of infinite rank with finite Gelfand–Kirillov dimension 2020 Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
+ On the representation theory of non-semisimple (graded) deformed Fomin-Kirillov algebras 2020 A. Alia
I. Heckenberger
+ Two-cocycles and cleft extensions in left braided categories 2019 I. Heckenberger
Kevin Wolf
+ Examples of finite-dimensional pointed Hopf algebras in positive characteristic 2019 Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
+ A Pascal-like bound for the number of necklaces with fixed density 2019 I. Heckenberger
Joe Sawada
+ PDF Chat On finite GK-dimensional Nichols algebras of diagonal type 2019 Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
+ Two-cocycles and cleft extensions in left braided categories 2019 I. Heckenberger
K. L. Wolf
+ Examples of finite-dimensional pointed Hopf algebras in positive characteristic 2019 Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
+ PDF Chat PBW Deformations of a Fomin–Kirillov Algebra and Other Examples 2018 I. Heckenberger
L. Vendramin
+ On the lattice of subracks of the rack of a finite group 2018 I. Heckenberger
John Shareshian
Volkmar Welker
+ On Nichols algebras of infinite rank with finite Gelfand-Kirillov dimension 2018 Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
+ PDF Chat Liftings of Jordan and Super Jordan Planes 2018 Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
+ A Pascal-like Bound for the Number of Necklaces with Fixed Density 2018 I. Heckenberger
Joe Sawada
+ On finite GK-dimensional Nichols algebras of diagonal type 2018 Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
+ On Nichols algebras of infinite rank with finite Gelfand-Kirillov dimension 2018 Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
+ Root multiplicities for Nichols algebras of diagonal type of rank two 2017 I. Heckenberger
Ying Zheng
+ PDF Chat The classification of Nichols algebras over groups with finite root system of rank two 2017 I. Heckenberger
L. Vendramin
+ PDF Chat A classification of Nichols algebras of semisimple Yetter–Drinfeld modules over non-abelian groups 2017 I. Heckenberger
L. Vendramin
+ Root multiplicities for Nichols algebras of diagonal type of rank two 2017 I. Heckenberger
Ying Zheng
+ PDF Chat A Deformation of the Orlik-Solomon Algebra 2016 I. Heckenberger
Volkmar Welker
+ On finite GK-dimensional Nichols algebras over abelian groups 2016 Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
+ On finite GK-dimensional Nichols algebras over abelian groups 2016 Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
+ Liftings of Jordan and super Jordan planes 2015 Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
+ On the lattice of subracks of the rack of a finite group 2015 I. Heckenberger
John Shareshian
Volkmar Welker
+ Mini-Workshop: Coideal Subalgebras of Quantum Groups 2015 I. Heckenberger
Stefan Kolb
Jasper V. Stokman
+ PDF Chat Nichols algebras with many cubic relations 2015 I. Heckenberger
Andreas Lochmann
L. Vendramin
+ On the lattice of subracks of the rack of a finite group 2015 I. Heckenberger
John Shareshian
Volkmar Welker
+ Liftings of Jordan and super Jordan planes 2015 Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
+ Nichols algebras over groups with finite root system of rank two III 2014 I. Heckenberger
L. Vendramin
+ PDF Chat Erratum to the Article “On the Left and Right Brylinski-Kostant filtrations” 2014 I. Heckenberger
Anjali Joseph
+ PDF Chat Nichols algebras over groups with finite root system of rank two II 2014 I. Heckenberger
L. Vendramin
+ The classification of Nichols algebras with finite root system of rank two 2013 I. Heckenberger
L. Vendramin
+ New examples of Nichols algebras with finite root system of rank two 2013 I. Heckenberger
L. Vendramin
+ PDF Chat Mini-Workshop: Nichols Algebras and Weyl Groupoids 2013 Nicolás Andruskiewitsch
Michael Cuntz
I. Heckenberger
Sarah Witherspoon
+ Yetter–Drinfeld modules over bosonizations of dually paired Hopf algebras 2013 I. Heckenberger
Holger Schneider
+ Finite Weyl groupoids 2013 Michael Cuntz
I. Heckenberger
+ PDF Chat Right coideal subalgebras of Nichols algebras and the Duflo order on the Weyl groupoid 2013 I. Heckenberger
Hans‐Jürgen Schneider
+ PDF Chat Homogeneous right coideal subalgebras of quantized enveloping algebras 2012 I. Heckenberger
Stefan Kolb
+ PDF Chat Braided racks, Hurwitz actions and Nichols algebras with many cubic relations 2012 I. Heckenberger
Andreas Lochmann
L. Vendramin
+ A deformation of the Orlik-Solomon algebra 2011 I. Heckenberger
Volkmar Welker
+ PDF Chat Finite Weyl groupoids of rank three 2011 Michael Cuntz
I. Heckenberger
+ Nichols algebras of group type with many quadratic relations 2011 M. Graña
I. Heckenberger
L. Vendramin
+ Reflection groupoids of rank two and cluster algebras of type A 2011 Michael Cuntz
I. Heckenberger
+ Yetter-Drinfeld modules over bosonizations of dually paired Hopf algebras 2011 I. Heckenberger
Henriette Schneider
+ A deformation of the Orlik-Solomon algebra 2011 I. Heckenberger
Volkmar Welker
+ PDF Chat Geometric combinatorics of Weyl groupoids 2010 I. Heckenberger
Volkmar Welker
+ Finite Weyl groupoids 2010 Michael Cuntz
I. Heckenberger
+ Nichols algebras over groups with finite root system of rank two I 2010 I. Heckenberger
L. Vendramin
+ PDF Chat Right Coideal Subalgebras of the Borel Part of a Quantized Enveloping Algebra 2010 I. Heckenberger
Stefan Kolb
+ Geometric Combinatorics of Weyl Groupoids 2010 I. Heckenberger
Volkmar Welker
+ Lusztig isomorphisms for Drinfel'd doubles of bosonizations of Nichols algebras of diagonal type 2010 I. Heckenberger
+ Root systems and Weyl groupoids for Nichols algebras 2010 I. Heckenberger
Hans Schneider
+ Drinfel'd doubles and Shapovalov determinants 2010 I. Heckenberger
Hiroyuki Yamane
+ Geometric Combinatorics of Weyl Groupoids 2010 I. Heckenberger
Volkmar Welker
+ Finite Weyl groupoids 2010 Michael Cuntz
I. Heckenberger
+ PDF Chat Weyl groupoids of rank two and continued fractions 2009 Michael Cuntz
I. Heckenberger
+ On the Left and Right Brylinski-Kostant Filtrations 2009 I. Heckenberger
Anthony Joseph
+ Finite Weyl groupoids of rank three 2009 Michael Cuntz
I. Heckenberger
+ Right coideal subalgebras of Nichols algebras and the Duflo order on the Weyl groupoid 2009 I. Heckenberger
Henriette Schneider
+ Right coideal subalgebras of the Borel part of a quantized enveloping algebra 2009 I. Heckenberger
Stefan Kolb
+ Reflection groupoids of rank two and Cluster algebras of type $A$ 2009 Michael Cuntz
I. Heckenberger
+ Weyl groupoids with at most three objects 2008 Michael Cuntz
I. Heckenberger
+ PDF Chat Classification of arithmetic root systems 2008 I. Heckenberger
+ Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid (Combinatorial Representation Theory and Related Topics) 2008 I. Heckenberger
Fabian Spill
Алессандро Торриелли
Hiroyuki Yamane
+ Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid 2008 I. Heckenberger
Fabian Spill
Алессандро Торриелли
Hiroyuki Yamane
+ Weyl groupoids of rank two and continued fractions 2008 Michael Cuntz
I. Heckenberger
+ Root systems and Weyl groupoids for Nichols algebras 2008 I. Heckenberger
Henriette Schneider
+ Drinfel'd doubles and Shapovalov determinants 2008 I. Heckenberger
Hiroyuki Yamane
+ The Nichols algebra of a semisimple Yetter-Drinfeld module 2008 Nicolás Andruskiewitsch
I. Heckenberger
Henriette Schneider
+ Weyl groupoids with at most three objects 2008 Michael Cuntz
I. Heckenberger
+ PDF Chat On the Bernstein-Gelfand-Gelfand Resolution for Kac-Moody Algebras and Quantized Enveloping Algebras 2007 I. Heckenberger
Stefan Kolb
+ Lusztig isomorphisms for Drinfel'd doubles of Nichols algebras of diagonal type 2007 I. Heckenberger
+ Differential forms via the Bernstein–Gelfand–Gelfand resolution for quantized irreducible flag manifolds 2007 I. Heckenberger
Stefan Kolb
+ PDF Chat A generalization of Coxeter groups, root systems, and Matsumoto’s theorem 2007 I. Heckenberger
Hiroyuki Yamane
+ PDF Chat Rank 2 Nichols Algebras with Finite Arithmetic Root System 2007 I. Heckenberger
+ On a factorization of graded Hopf algebras using Lyndon words 2007 M. Graña
I. Heckenberger
+ PDF Chat Examples of finite-dimensional rank 2 Nichols algebras of diagonal type 2007 I. Heckenberger
+ Lusztig isomorphisms for Drinfel'd doubles of bosonizations of Nichols algebras of diagonal type 2007 I. Heckenberger
+ Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid 2007 I. Heckenberger
Fabian Spill
Алессандро Торриелли
Hiroyuki Yamane
+ PDF Chat De Rham complex for quantized irreducible flag manifolds 2006 I. Heckenberger
Stefan Kolb
+ On the Bernstein-Gelfand-Gelfand resolution for Kac-Moody algebras and quantized enveloping algebras 2006 I. Heckenberger
Stefan Kolb
+ Classification of arithmetic root systems 2006 I. Heckenberger
+ On a factorization of graded Hopf algebras using Lyndon words 2006 M. Graña
I. Heckenberger
+ A generalization of Coxeter groups, root systems, and Matsumoto's theorem 2006 I. Heckenberger
Hiroyuki Yamane
+ PDF Chat The Weyl groupoid of a Nichols algebra of diagonal type 2005 I. Heckenberger
+ Classification of arithmetic root systems of rank 3 2005 I. Heckenberger
+ PDF Chat Weyl equivalence for rank 2 Nichols algebras of diagonal type 2005 I. Heckenberger
+ PDF Chat The locally finite part of the dual coalgebra of quantized irreducible flag manifolds 2004 I. Heckenberger
Stefan Kolb
+ Finite dimensional rank 2 Nichols algebras of diagonal type I: Examples 2004 I. Heckenberger
+ Weyl equivalence for rank 2 Nichols algebras of diagonal type 2004 I. Heckenberger
+ Rank 2 Nichols algebras with finite arithmetic root system 2004 I. Heckenberger
+ Podleś' quantum sphere: dual coalgebra and classification of covariant first-order differential calculus 2003 I. Heckenberger
Stefan Kolb
+ Spin geometry on quantum groups via covariant differential calculi 2003 I. Heckenberger
+ None 2003 I. Heckenberger
Stefan Kolb
+ De Rham Complex for Quantized Irreducible Flag Manifolds 2003 I. Heckenberger
Stefan Kolb
+ The Locally Finite Part of the Dual Coalgebra of Quantized Irreducible Flag Manifolds 2003 I. Heckenberger
Stefan Kolb
+ Podleś' Quantum Sphere: Dual Coalgebra and Classification of Covariant First Order Differential Calculus 2002 I. Heckenberger
Stefan Kolb
+ PDF Chat De Rham Cohomology and Hodge Decomposition For Quantum Groups 2001 I. Heckenberger
Axel Schüler
+ Classification of Left-Covariant Differential Calculi on the Quantum Group SLq(2) 2001 I. Heckenberger
+ None 2001 I. Heckenberger
Axel Schüler
+ Differential Calculus on Quantum Complex Grassmann Manifolds II: Classification 2001 I. Heckenberger
Stefan Kolb
+ On FRT-Clifford Algebras 2000 I. Heckenberger
A. Schueler
+ ON FRT– CLIFFORD ALGEBRAS 2000 I. Heckenberger
Axel Schüler
+ Symmetrizer and Antisymmetrizer of the Birman-Wenzl-Murakami Algebras 2000 I. Heckenberger
Axel Schüler
+ Spin Geometry on Quantum Groups via Covariant Differential Calculi 2000 I. Heckenberger
+ Classification of Left-Covariant Differential Calculi on the Quantum Group $\SLq 2$ 2000 I. Heckenberger
+ De Rham Cohomology and Hodge decomposition for Quantum Groups 2000 I. Heckenberger
A. Schueler
+ PDF Chat None 2000 I. Heckenberger
+ On FRT-Clifford Algebras 2000 I. Heckenberger
A. Schueler
+ Hodge and Laplace-Beltrami Operators for Bicovariant Differential Calculi on Quantum Groups 1999 I. Heckenberger
+ None 1999 I. Heckenberger
Axel Schüler
+ Classification of bicovariant differential calculi on the quantum groups SLq(n+1) and Spq(2n) 1998 I. Heckenberger
Konrad Schmüdgen
+ PDF Chat Exterior Algebras Related to the Quantum Group O_q(3)$ 1998 I. Heckenberger
Axel Schüler
+ PDF Chat Levi-Civita Connections on the Quantum Groups SL q ( N ), O q ( N ) and Sp q ( N ) 1997 I. Heckenberger
Konrad Schmüdgen
+ None 1997 I. Heckenberger
Konrad Schmüdgen
+ Classification of Bicovariant Differential Calculi on the Quantum Groups $SL_q(n+1)$ and $Sp_q(2n)$ 1997 I. Heckenberger
Konrad Schmuedgen
+ PDF Chat Higher Order Differential Calculus on $SL_q(N)$ 1997 I. Heckenberger
Axel Schüler
+ Levi-Civita Connections on the Quantum Groups SL_{q}(N), O_{q}(N) and Sp_{q}(N) 1995 I. Heckenberger
Konrad Schmuedgen
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat The Weyl groupoid of a Nichols algebra of diagonal type 2005 I. Heckenberger
43
+ Lifting of Quantum Linear Spaces and Pointed Hopf Algebras of Orderp3 1998 Nicolás Andruskiewitsch
Henriette Schneider
33
+ PDF Chat Differential calculus on compact matrix pseudogroups (quantum groups) 1989 S. L. Woronowicz
28
+ Quantum groups and quantum shuffles 1998 Marc Rosso
21
+ Hopf Algebras and Their Actions on Rings 1993 Susan Montgomery
20
+ PDF Chat Classification of arithmetic root systems 2008 I. Heckenberger
20
+ Finite Quantum Groups and Cartan Matrices 2000 Nicolás Andruskiewitsch
Hans‐Jürgen Schneider
19
+ Introduction to Quantum Groups 2010 G. Lusztig
18
+ Pointed Hopf Algebras 2002 Nicolás Andruskiewitsch
Hans‐Jürgen Schneider
17
+ PDF Chat A generalization of Coxeter groups, root systems, and Matsumoto’s theorem 2007 I. Heckenberger
Hiroyuki Yamane
16
+ The Nichols algebra of a semisimple Yetter-Drinfeld module 2010 Nicol�s Andruskiewitsch
I. Heckenberger
Hans-J�rgen Schneider
15
+ PDF Chat Infinite-Dimensional Lie Algebras 1990 Victor G. Kač
15
+ Weyl groupoids with at most three objects 2008 Michael Cuntz
I. Heckenberger
15
+ Bialgebras of type one<sup>*</sup> 1978 Warren D. Nichols
14
+ From racks to pointed Hopf algebras 2003 Nicolás Andruskiewitsch
Matı́as Graña
13
+ PDF Chat A quantum analog of the Poincare-Birkhoff-Witt theorem 1999 V. K. Kharchenko
13
+ A characterization of the borel-like subalgebras of quantum enveloping algebras 1996 Peter Schauenburg
12
+ PDF Chat Weyl groupoids of rank two and continued fractions 2009 Michael Cuntz
I. Heckenberger
12
+ Quantization of Lie Groups and Lie Algebras 1988 L. D. Faddeev
Nicolai Reshetikhin
Leon A. Takhtajan
12
+ A Freeness Theorem for Nichols Algebras 2000 Matı́as Graña
12
+ Root systems and Weyl groupoids for Nichols algebras 2010 I. Heckenberger
Hans Schneider
11
+ Quantum Groups 1994 Christian Kassel
10
+ PDF Chat On the classification of finite-dimensional pointed Hopf algebras 2010 Nicolás Andruskiewitsch
Hans‐Jürgen Schneider
10
+ Quadratic Algebras, Dunkl Elements, and Schubert Calculus 1999 Sergey Fomin
Anatol N. Kirillov
9
+ Quantum homogeneous spaces with faithfully flat module structures 1999 Eric Müller
Henriette Schneider
9
+ PDF Chat On Nichols algebras of diagonal type 2013 Iván Angiono
8
+ PDF Chat Rank 2 Nichols Algebras with Finite Arithmetic Root System 2007 I. Heckenberger
8
+ PDF Chat Finite-dimensional pointed Hopf algebras with alternating groups are trivial 2010 Nicolás Andruskiewitsch
Fernando Fantino
M. Graña
L. Vendramin
8
+ Nichols algebras of group type with many quadratic relations 2011 M. Graña
I. Heckenberger
L. Vendramin
8
+ Nichols–Woronowicz algebra model for Schubert calculus on Coxeter groups 2006 Yuri Bazlov
8
+ PDF Chat On Nichols Algebras with Generic Braiding 2008 Nicolás Andruskiewitsch
Iván Angiono
8
+ Pointed Hopf algebras over the sporadic simple groups 2010 Nicolás Andruskiewitsch
Fernando Fantino
M. Graña
L. Vendramin
8
+ Quantum Groups and Their Primitive Ideals 1995 Anthony Joseph
8
+ PDF Chat DERIVATIONS WITH QUANTUM GROUP ACTION 2002 Ulrich Hermisson
8
+ PDF Chat UniversalR-matrix for quantized (super)algebras 1991 S. Khoroshkin
V.N. Tolstoy
8
+ The Nichols algebra of a semisimple Yetter-Drinfeld module 2008 Nicolás Andruskiewitsch
I. Heckenberger
Henriette Schneider
7
+ The algebraic theory of semigroups 1964 A. H. Clifford
G. B. Preston
7
+ New Directions in Hopf Algebras 2009 Susan Montgomery
Hans‐Jürgen Schneider
7
+ Foundations of Quantum Group Theory 1995 Shahn Majid
7
+ PDF Chat Right coideal subalgebras of Nichols algebras and the Duflo order on the Weyl groupoid 2013 I. Heckenberger
Hans‐Jürgen Schneider
7
+ A presentation by generators and relations of Nichols algebras of diagonal type and convex orders on root systems 2010 Iván Angiono
6
+ PBW bases for a class of braided Hopf algebras 2004 Stefan Ufer
6
+ Differential calculus on quantized simple lie groups 1991 Branislav Jurčo
6
+ None 1998 S. Sinel’shchikov
L. Vaksman
6
+ Nichols algebras over groups with finite root system of rank two I 2010 I. Heckenberger
L. Vendramin
6
+ On generalizations of root systems 1996 Vera Serganova
6
+ On a factorization of graded Hopf algebras using Lyndon words 2007 M. Graña
I. Heckenberger
6
+ Noncommutative Differentials and Yang-Mills on Permutation Groups Sn 2019 Shawn Majid
6
+ PDF Chat A catalogue of simplicial arrangements in the real projective plane 2009 Branko Grünbaum
6
+ PDF Chat About finite dimensional Hopf algebras 2002 Nicolás Andruskiewitsch
6