Paolo Papi

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All published works

Action	Title	Year	Authors
+ PDF Chat	Quantum automata and languages of finite index	2024	Andrea Benso Flavio D’Alessandro Paolo Papi
+ PDF Chat	Unitarity of minimal $W$-algebras and their representations II: Ramond sector	2024	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+ PDF Chat	Defining Relations for Minimal Unitary Quantum Affine W-Algebras	2024	Dražen Adamović Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	New Approaches for Studying Conformal Embeddings and Collapsing Levels for <i>W</i>–Algebras	2023	Dražen Adamović Pierluigi Möseneder Frajria Paolo Papi
+ PDF Chat	Unitarity of Minimal W-Algebras and Their Representations I	2023	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	Defining relations for minimal unitary quantum affine W-algebras	2023	Dražen Adamović Victor . G. Kac Pierluigi Möseneder Frajria Paolo Papi
+ PDF Chat	On the semisimplicity of the category KL for affine Lie superalgebras	2022	Dražen Adamović Pierluigi Möseneder Frajria Paolo Papi
+	New approaches for studying conformal embeddings and collapsing levels for $W$--algebras	2022	Dražen Adamović Pierluigi Möseneder Frajria Paolo Papi
+	Unitarity of minimal $W$-algebras and their representations I	2022	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+ PDF Chat	Invariant Hermitian forms on vertex algebras	2021	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	On the semisimplicity of the category $KL_k$ for affine Lie superalgebras	2021	Dražen Adamović Pierluigi Möseneder Frajria Paolo Papi
+	On the semisimplicity of the category $KL_k$ for affine Lie superalgebras	2021	Dražen Adamović Pierluigi Möseneder Frajria Paolo Papi
+	Unitarity of minimal $W$-algebras	2020	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	Invariant Hermitian forms on vertex algebras	2020	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+ PDF Chat	Yangians versus minimal W-algebras: A surprising coincidence	2020	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	The Bruhat order on abelian ideals of Borel subalgebras	2020	Jacopo Gandini Andrea Maffei Pierluigi Möseneder Frajria Paolo Papi
+	Nilpotent orbits of height 2 and involutions in the affine Weyl group	2020	Jacopo Gandini Pierluigi Möseneder Frajria Paolo Papi
+	Unitarity of minimal $W$-algebras	2020	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	Invariant Hermitian forms on vertex algebras	2020	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	Yangians vs minimal W-algebras: a surprizing coincidence	2019	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	Conformal embeddings in affine vertex superalgebras	2019	Dražen Adamović Pierluigi Möseneder Frajria Paolo Papi Ozren Perše
+	Nilpotent orbits of height 2 and involutions in the affine Weyl group	2019	Jacopo Gandini Pierluigi Möseneder Frajria Paolo Papi
+	Corrigendum to “Multiplets of representations, twisted Dirac operators and Vogan's conjecture in affine setting” [Adv. Math. 217 (6) (2008) 2485–2562]	2019	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	Conformal embeddings in affine vertex superalgebras	2019	Dražen Adamović Pierluigi Möseneder Frajria Paolo Papi Ozren Perše
+ PDF Chat	Kostant Pairs of Lie Type and Conformal Embeddings	2019	Dražen Adamović Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi Ozren Perše
+	Affine, Vertex and W-algebras	2019	Dražen Adamović Paolo Papi
+	Yangians vs minimal W-algebras: a surprizing coincidence	2019	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	Conformal embeddings in affine vertex superalgebras	2019	Dražen Adamović Pierluigi Möseneder Frajria Paolo Papi Ozren Perše
+	Nilpotent orbits of height 2 and involutions in the affine Weyl group	2019	Jacopo Gandini Pierluigi Möseneder Frajria Paolo Papi
+ PDF Chat	An Application of Collapsing Levels to the Representation Theory of Affine Vertex Algebras	2018	Dražen Adamović Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi Ozren Perše
+	The Bruhat order on abelian ideals of Borel subalgebras	2018	Jacopo Gandini Andrea Maffei Pierluigi Möseneder Frajria Paolo Papi
+ PDF Chat	On the classification of non-equal rank affine conformal embeddings and applications	2018	Dražen Adamović Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi Ozren Perše
+	The Bruhat order on abelian ideals of Borel subalgebras	2018	Jacopo Gandini Andrea Maffei Pierluigi Möseneder Frajria Paolo Papi
+ PDF Chat	On some modules of covariants for a reflection group	2017	Corrado De Concini Paolo Papi
+ PDF Chat	Conformal embeddings of affine vertex algebras in minimal W-algebras II: decompositions	2017	Dražen Adamović Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi Ozren Perše
+	On some modules of covariants for a reflection group	2017	Corrado De Concini Paolo Papi
+	On classification of non-equal rank affine conformal embeddings and applications	2017	Dražen Adamović Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi Ozren Perše
+ PDF Chat	Spherical nilpotent orbits and abelian subalgebras in isotropy representations	2017	Jacopo Gandini Pierluigi Möseneder Frajria Paolo Papi
+	On some modules of covariants for a reflection group	2017	Corrado De Concini Paolo Papi
+	On classification of non-equal rank affine conformal embeddings and applications	2017	Dražen Adamović Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi Ozren Perše
+ PDF Chat	Conformal embeddings of affine vertex algebras in minimal W-algebras I: Structural results	2016	Dražen Adamović Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi Ozren Perše
+ PDF Chat	Finite vs. Infinite Decompositions in Conformal Embeddings	2016	Dražen Adamović Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi Ozren Perše
+	Conformal embeddings of affine vertex algebras in minimal $W$-algebras II: decompositions	2016	Dražen Adamović Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi Ozren Perše
+	Conformal embeddings of affine vertex algebras in minimal $W$-algebras II: decompositions	2016	Dražen Adamović Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi Ozren Perše
+	The adjoint representation inside the exterior algebra of a simple Lie algebra	2015	Corrado De Concini Paolo Papi Claudio Procesi
+	The maximum cardinality of minimal inversion complete sets in finite reflection groups	2014	Claudia Malvenuto Pierluigi Möseneder Frajria Luigi Orsina Paolo Papi
+ PDF Chat	On special covariants in the exterior algebra of a simple Lie algebra	2014	Corrado De Concini Pierluigi Möseneder Frajria Paolo Papi Claudio Procesi
+ PDF Chat	Conformal Embeddings and Simple Current Extensions	2014	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi Feng Xu
+	On special covariants in the exterior algebra of a simple Lie algebra	2014	Corrado De Concini Pierluigi Möseneder Frajria Paolo Papi Claudio Procesi
+ PDF Chat	Dirac operators and the very strange formula for Lie superalgebras	2014	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	On special covariants in the exterior algebra of a simple Lie algebra	2014	Corrado De Concini Pierluigi Möseneder Frajria Paolo Papi Claudio Procesi
+	The maximum cardinality of minimal inversion complete sets in finite reflection groups	2013	Claudia Malvenuto Pierluigi Möseneder Frajria Luigi Orsina Paolo Papi
+	The adjoint representation inside the exterior algebra of a simple Lie algebra	2013	Corrado De Concini Paolo Papi Claudio Procesi
+	Symmetries of abelian ideals of Borel subalgebras	2013	Paola Cellini Pierluigi Möseneder Frajria Paolo Papi
+	The maximum cardinality of minimal inversion complete sets in finite reflection groups	2013	Claudia Malvenuto Pierluigi Möseneder Frajria Luigi Orsina Paolo Papi
+	The adjoint representation inside the exterior algebra of a simple Lie algebra	2013	Corrado De Concini Paolo Papi Claudio Procesi
+ PDF Chat	On the structure of Borel stable abelian subalgebras in infinitesimal symmetric spaces	2012	Paola Cellini Pierluigi Möseneder Frajria Paolo Papi Marco Pasquali
+ PDF Chat	Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs	2012	Maria Gorelik Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	Conformal embeddings and simple current extensions	2012	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi Feng Xu
+ PDF Chat	Irreducible representations of Yangians	2011	S. Khoroshkin Maxim Nazarov Paolo Papi
+ PDF Chat	Denominator formulas for Lie superalgebras (extended abstract)	2010	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+ PDF Chat	Cyclic generators for irreducible representations of affine Hecke algebras	2009	Valentina Guizzi Maxim Nazarov Paolo Papi
+	Addendum to: On the Kernel of the Affine Dirac Operator	2009	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	ad-nilpotent ideals containing a fixed number of simple root spaces	2009	Paola Cellini M Pierluigi Oseneder Frajria Paolo Papi
+	Cyclic generators for irreducible representations of affine Hecke algebras	2008	Valentina Guizzi Maxim Nazarov Paolo Papi
+	On the Kernel of the affine Dirac operator	2008	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	Multiplets of representations, twisted Dirac operators and Vogan's conjecture in affine setting	2008	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+ PDF Chat	On the Kernel of the Affine Dirac Operator	2008	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	Cyclic generators for irreducible representations of affine Hecke algebras	2008	Valentina Guizzi М. М. Назаров Paolo Papi
+	On the Kernel of the affine Dirac operator	2008	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	Casimir operators, abelian subspaces and u-cohomology	2007	Pierluigi Möseneder Frajria Paolo Papi
+	Casimir operators, abelian subspaces and $mathfrak u$-chomology	2007	Pierluigi Möseneder Frajria Paolo Papi
+	Multiplets of representations, twisted Dirac operators and Vogan's conjecture in affine setting	2007	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mover accent="true"><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mo>̂</mml:mo></mml:mrow></mml:mover></mml:math>-orbit of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mi>ρ</mml:mi></mml:math>, Kostant’s formula for powers of the Euler product and affine Weyl groups as permutations of <mml:math xmlns:…	2006	Paola Cellini Pierluigi Möseneder Frajria Paolo Papi
+	Decomposition rules for conformal pairs associated to symmetric spaces and abelian subalgebras of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>-graded Lie algebras	2006	Paola Cellini Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	The $\hat W$-orbit of $\rho$, Kostant's formula for powers of the Euler product and affine Weyl groups as permutations of Z	2005	Paola Cellini Pierluigi Möseneder Frajria Paolo Papi
+	Decomposition rules for conformal pairs associated to symmetric spaces and abelian subalgebras of Z_2-graded Lie algebras	2005	Paola Cellini Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi
+	The $\hat W$-orbit of $ρ$, Kostant's formula for powers of the Euler product and affine Weyl groups as permutations of Z	2005	Paola Cellini Pierluigi Möseneder Frajria Paolo Papi
+	ad-nilpotent ideals containing a fixed number of simple root spaces	2004	Paola Cellini Pierluigi Möseneder Frajria Paolo Papi
+ PDF Chat	Compatible discrete series	2003	Paola Cellini Pierluigi Möseneder Frajria Paolo Papi
+	Abelian ideals of Borel subalgebras and affine Weyl groups	2003	Paola Cellini Paolo Papi
+	ad-nilpotent ideals of a Borel subalgebra III	2003	Paola Cellini Paolo Papi
+	Abelian subalgebras in Z_2-graded Lie algebras and affine Weyl groups	2003	Paola Cellini Pierluigi Möseneder Frajria Paolo Papi
+ PDF Chat	Ad-nilpotent ideals of a Borel subalgebra II	2002	Paola Cellini Paolo Papi
+	𝑎𝑑-nilpotent 𝔟-ideals in 𝔰𝔩(𝔫) having a fixed class of nilpotence: combinatorics and enumeration	2002	George E. Andrews Christian Krattenthaler Luigi Orsina Paolo Papi
+	Enumeration of ad-Nilpotent b-Ideals for Simple Lie Algebras	2002	Christian Krattenthaler Luigi Orsina Paolo Papi
+	Compatible Discrete Series	2002	Paola Cellini Pierluigi Möseneder Frajria Paolo Papi
+	Inversion tables and minimal left coset representatives for Weyl groups of classical type	2001	Paolo Papi
+	ad-Nilpotent ideals of a Borel subalgebra II	2001	Paola Cellini Paolo Papi
+	Enumeration of ad-nilpotent ideals of a Borel subalgebra in type A by class of nilpotence	2000	Luigi Orsina Paolo Papi
+	ad-Nilpotent ideals of a Borel subalgebra	2000	Paola Cellini Paolo Papi
+	ad-nilpotent $\frak b$-ideals in sl(n) having a fixed class of nilpotence: combinatorics and enumeration	2000	George E. Andrews Christian Krattenthaler Luigi Orsina Paolo Papi
+ PDF Chat	None	2000	Paola Cellini Paolo Papi
+	Enumeration of ad-nilpotent $\frak b$-ideals for simple Lie algebras	2000	Christian Krattenthaler Luigi Orsina Paolo Papi
+	A Combinatorial Approach to the Fusion Process for the Symmetric Group	1998	Valentina Guizzi Paolo Papi
+	The Structure of Total Reflection Orders in Affine Root Systems	1998	Paola Cellini Paolo Papi
+	Representations of the Brauer Algebra and Littlewood's Restriction Rules	1997	Fabio Gavarini Paolo Papi
+	Convex Orderings in Affine Root Systems, II	1996	Paolo Papi
+ PDF Chat	A Characterization of a Special Ordering in a Root System	1994	Paolo Papi
+ PDF Chat	A characterization of a special ordering in a root system	1994	Paolo Papi

Common Coauthors

Coauthor	Papers Together
Pierluigi Möseneder Frajria	69
Victor G. Kač	36
Dražen Adamović	21
Paola Cellini	19
Ozren Perše	13
Corrado De Concini	9
Luigi Orsina	8
Jacopo Gandini	7
Claudio Procesi	6
Christian Krattenthaler	4
Valentina Guizzi	4
Maxim Nazarov	3
Claudia Malvenuto	3
Andrea Maffei	3
George E. Andrews	2
Feng Xu	2
Marco Pasquali	1
М. М. Назаров	1
M Pierluigi	1
Victor . G. Kac	1
Oseneder Frajria	1
Maria Gorelik	1
S. Khoroshkin	1
Flavio D’Alessandro	1
Andrea Benso	1
Fabio Gavarini	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Infinite-Dimensional Lie Algebras	1990	Victor G. Kač	29
+ PDF Chat	Ad-nilpotent ideals of a Borel subalgebra II	2002	Paola Cellini Paolo Papi	20
+	Eigenvalues of a Laplacian and commutative Lie subalgebras	1965	Bertram Kostant	19
+	Groupes et algèbres de Lie	1971	Nicolás Bourbaki	16
+	Quantum reduction and representation theory of superconformal algebras	2004	Victor G. Kač Minoru Wakimoto	15
+	Modular and conformal invariance constraints in representation theory of affine algebras	1988	Victor G. Kač Minoru Wakimoto	14
+	Reflection Groups and Coxeter Groups	1990	James E. Humphreys	14
+ PDF Chat	Conformal embeddings of affine vertex algebras in minimal W-algebras I: Structural results	2016	Dražen Adamović Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi Ozren Perše	14
+	Vertex algebras for beginners	1998	Victor G. Kač	13
+	ISOTROPY REPRESENTATIONS, EIGENVALUES OF A CASIMIR ELEMENT, AND COMMUTATIVE LIE SUBALGEBRAS	2001	Dmitri I. Panyushev	11
+	Decompositions of representations of exceptional affine algebras with respect to conformal subalgebras	1988	Victor G. Ka Mihaela Niculescu Sanielevici	11
+	Decomposition rules for conformal pairs associated to symmetric spaces and abelian subalgebras of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>-graded Lie algebras	2006	Paola Cellini Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi	11
+ PDF Chat	On some bruhat decomposition and the structure of the hecke rings of p-Adic chevalley groups	1965	Nagayoshi Iwahori Hisatake Matsumoto	11
+ PDF Chat	Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra	2004	Bertram Kostant	10
+	Lie superalgebras	1977	Victor G. Kač	10
+	ad-Nilpotent ideals of a Borel subalgebra	2000	Paola Cellini Paolo Papi	9
+	Differential Geometry, Lie Groups, and Symmetric Spaces	2001	Sigurđur Helgason	9
+ PDF Chat	Some General Results on Conformal Embeddings of Affine Vertex Operator Algebras	2011	Dražen Adamović Ozren Perše	9
+ PDF Chat	Conformal subalgebras of Kac-Moody algebras	1986	A.N. Schellekens Nicholas P. Warner	9
+	Spherical Orbits and Abelian Ideals	2001	Dmitri I. Panyushev Gerhard Röhrle	9
+	Symmetric spaces, Sugawara's energy momentum tensor in two dimensions and free fermions	1985	Peter Goddard Werner Nahm D. Olive	9
+ PDF Chat	Abelian ideals in a Borel subalgebra of a complex simple Lie algebra	2004	Ruedi Suter	8
+	None	2003	Dmitri I. Panyushev	8
+ PDF Chat	FUSION RULES AND COMPLETE REDUCIBILITY OF CERTAIN MODULES FOR AFFINE LIE ALGEBRAS	2013	Dražen Adamović Ozren Perše	8
+	Hecke algebras and shellings of Bruhat intervals	1993	Matthew Dyer	8
+ PDF Chat	Finite vs. Infinite Decompositions in Conformal Embeddings	2016	Dražen Adamović Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi Ozren Perše	8
+ PDF Chat	Quantum Reduction for Affine Superalgebras	2003	Victor G. Kač Shi-shyr Roan Minoru Wakimoto	7
+ PDF Chat	Conformal embeddings of affine vertex algebras in minimal W-algebras II: decompositions	2017	Dražen Adamović Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi Ozren Perše	7
+	THE NUMBER OF ⊕-SIGN TYPES	1997	Jian-yi Shi	7
+	Conformal subalgebras and symmetric spaces	1987	R. C. Arcuri J. F. Gomes D. Olive	7
+ PDF Chat	Exterior Powers of the Adjoint Representation	1997	Mark Reeder	7
+ PDF Chat	Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture	2005	Tomoyuki Arakawa	7
+ PDF Chat	Integrable Highest Weight Modules over Affine Superalgebras and Number Theory	1994	Victor G. Kač Minoru Wakimoto	7
+	Kac-Moody Groups, their Flag Varieties and Representation Theory	2002	Shrawan Kumar	7
+ PDF Chat	A characterization of a special ordering in a root system	1994	Paolo Papi	7
+	Introduction to Lie Algebras and Representation Theory	1972	James E. Humphreys	7
+ PDF Chat	An Application of Collapsing Levels to the Representation Theory of Affine Vertex Algebras	2018	Dražen Adamović Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi Ozren Perše	6
+	Abelian ideals of Borel subalgebras and affine Weyl groups	2003	Paola Cellini Paolo Papi	6
+ PDF Chat	Finite vs affine W-algebras	2006	Alberto De Sole Victor G. Kač	6
+ PDF Chat	Integrable Highest Weight Modules over Affine Superalgebras and Appell's Function	2001	Victor G. Kač Minoru Wakimoto	6
+ PDF Chat	Compatible discrete series	2003	Paola Cellini Pierluigi Möseneder Frajria Paolo Papi	6
+	Multiplets of representations, twisted Dirac operators and Vogan's conjecture in affine setting	2008	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi	6
+	Field Algebras	2003	Bojko Bakalov Victor G. Kač	6
+	None	2004	Paola Cellini Pierluigi Möseneder Frajria Paolo Papi	6
+ PDF Chat	Conformal Embeddings and Simple Current Extensions	2014	Victor G. Kač Pierluigi Möseneder Frajria Paolo Papi Feng Xu	6
+	Some Rational Vertex Algebras	1995	Dražen Adamović	6
+	Combinatorics of Coxeter Groups	2005	Anders Björner Francesco Brenti	6
+ PDF Chat	A REALIZATION OF CERTAIN MODULES FOR THE N = 4 SUPERCONFORMAL ALGEBRA AND THE AFFINE LIE ALGEBRA A 2 (1)	2015	Dražen Adamović	6
+	Clifford Algebra Analogue of the Hopf–Koszul–Samelson Theorem, theρ-DecompositionC(g)=EndVρ⊗C(P), and the g-Module Structure of ∧g	1997	Bertram Kostant	5
+ PDF Chat	Superconformal current algebras and their unitary representations	1985	Victor G. Kač Иван Тодоров	5