+
PDF
Chat
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Pointed Hopf algebras of odd dimension and Nichols algebras over
solvable groups
|
2024
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Nicolás Andruskiewitsch
I. Heckenberger
L. Vendramin
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+
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Mini-Workshop: Bridging Number Theory and Nichols Algebras via Deformations
|
2024
|
Giovanna Carnovale
I. Heckenberger
L. Vendramin
|
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PDF
Chat
|
Bosonization of curved Lie bialgebras
|
2023
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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
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+
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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
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Corrigendum: Liftings of the Jordan plane
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2022
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Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
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+
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A decomposition Theorem for pointed braided Hopf algebras
|
2022
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I. Heckenberger
Katharina Schäfer
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+
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On finite GK-dimensional Nichols algebras over abelian groups
|
2021
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Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
|
+
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Examples of Finite-Dimensional Pointed Hopf Algebras in Positive Characteristic
|
2021
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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
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+
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Hopf Algebras and Root Systems
|
2020
|
I. Heckenberger
Hans‐Jürgen Schneider
|
+
PDF
Chat
|
Nichols algebras
|
2020
|
I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
|
+
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Yetter-Drinfeld modules over Hopf algebras
|
2020
|
I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
|
+
PDF
Chat
|
Nichols algebras of Cartan type
|
2020
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I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
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+
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Nichols systems, and semi-Cartan graph of Nichols algebras
|
2020
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I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
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+
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A braided monoidal isomorphism of Yetter-Drinfeld modules
|
2020
|
I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
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+
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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
|
+
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Nichols algebras over non-abelian groups
|
2020
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I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
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+
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Right coideal subalgebras of Nichols systems, and Cartan graph of Nichols algebras
|
2020
|
I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
|
+
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Quantized enveloping algebras and generalizations
|
2020
|
I. Heckenberger
Hans-JÃ ⁄ rgen Schneider
|
+
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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
|
+
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On the representation theory of non-semisimple (graded) deformed Fomin-Kirillov algebras
|
2020
|
A. Alia
I. Heckenberger
|
+
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Two-cocycles and cleft extensions in left braided categories
|
2019
|
I. Heckenberger
Kevin Wolf
|
+
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Examples of finite-dimensional pointed Hopf algebras in positive characteristic
|
2019
|
Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
|
+
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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
|
+
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Two-cocycles and cleft extensions in left braided categories
|
2019
|
I. Heckenberger
K. L. Wolf
|
+
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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
|
+
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On the lattice of subracks of the rack of a finite group
|
2018
|
I. Heckenberger
John Shareshian
Volkmar Welker
|
+
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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
|
+
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A Pascal-like Bound for the Number of Necklaces with Fixed Density
|
2018
|
I. Heckenberger
Joe Sawada
|
+
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On finite GK-dimensional Nichols algebras of diagonal type
|
2018
|
Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
|
+
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On Nichols algebras of infinite rank with finite Gelfand-Kirillov dimension
|
2018
|
Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
|
+
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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
|
+
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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
|
+
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On finite GK-dimensional Nichols algebras over abelian groups
|
2016
|
Nicolás Andruskiewitsch
Iván Angiono
I. Heckenberger
|
+
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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
|
+
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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
|
+
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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
|
+
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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
|
+
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Geometric Combinatorics of Weyl Groupoids
|
2010
|
I. Heckenberger
Volkmar Welker
|
+
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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
|
+
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Weyl groupoids with at most three objects
|
2008
|
Michael Cuntz
I. Heckenberger
|
+
PDF
Chat
|
Classification of arithmetic root systems
|
2008
|
I. Heckenberger
|
+
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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
|
+
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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
|
+
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On FRT-Clifford Algebras
|
2000
|
I. Heckenberger
A. Schueler
|
+
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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
|