Cristian Lenart

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Person:625349

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zbMath Open lenart.cristianMaRDI QIDQ625349

List of research outcomes

PublicationDate of PublicationType
A general Chevalley formula for semi-infinite flag manifolds and quantum \(K\)-theory2024-04-15Paper
Quantum \(K\)-theory Chevalley formulas in the parabolic case2024-03-04Paper
New structure on the quantum alcove model with applications to representation theory and Schubert calculus2023-11-30Paper
Elliptic classes via the periodic Hecke module and its Langlands dual2023-09-16Paper
Generalized quantum Yang-Baxter moves and their application to Schubert calculus2023-06-05Paper
Inverse \(K\)-Chevalley formulas for semi-infinite flag manifolds. II: Arbitrary weights in ADE type2023-05-04Paper
Geometric properties of the Kazhdan-Lusztig Schubert basis2023-03-29Paper
On combinatorial models for affine crystals2023-01-05Paper
A combinatorial Chevalley formula for semi-infinite flag manifolds and its applications2023-01-05Paper
Lusztig's \(t\)-analogue of weight multiplicity via crystals2022-10-31Paper
Symmetric and Nonsymmetric Macdonald Polynomials via a Path Model with a Pseudo-crystal Structure2022-10-26Paper
Towards a Combinatorial Model for $q$-weight Multiplicities of Simple Lie Algebras (Extended Abstract)2021-10-28Paper
Relating three combinatorial formulas for type $A$ Whittaker functions2021-09-27Paper
On Combinatorial Models for Affine Crystals2021-09-24Paper
Quantum K-theory Chevalley formulas in the parabolic case2021-09-23Paper
Combinatorics of Generalized Exponents2021-02-19Paper
PARABOLIC KAZHDAN–LUSZTIG BASIS, SCHUBERT CLASSES, AND EQUIVARIANT ORIENTED COHOMOLOGY2020-12-16Paper
Atomic decomposition of characters and crystals2020-12-04Paper
Geometric properties of the Kazhdan-Lusztig Schubert basis2020-09-14Paper
Combinatorics of generalized exponents2020-03-23Paper
Atomic decomposition of characters and crystals2020-03-23Paper
A Chevalley formula for semi-infinite flag manifolds and quantum K-theory (Extended abstract)2019-11-28Paper
WHITTAKER FUNCTIONS AND DEMAZURE CHARACTERS2019-11-07Paper
On higher level Kirillov-Reshetikhin crystals, Demazure crystals, and related uniform models2019-10-07Paper
https://portal.mardi4nfdi.de/entity/Q53773592019-05-24Paper
https://portal.mardi4nfdi.de/entity/Q53774352019-05-24Paper
A Uniform Model for Kirillov–Reshetikhin Crystals II. Alcove Model, Path Model, and $P=X$2019-01-22Paper
A uniform realization of the combinatorial \(R\)-matrix for column shape Kirillov-Reshetikhin crystals2018-08-01Paper
Combinatorial Formulas for Macdonald and Hall-Littlewood Polynomials of Types A and C. Extended Abstract2018-07-23Paper
Towards generalized cohomology Schubert calculus via formal root polynomials2018-03-29Paper
A uniform model for Kirillov-Reshetikhin crystals. III: Nonsymmetric Macdonald polynomials at \(t = 0\) and Demazure characters2018-02-15Paper
Quantum Lakshmibai-Seshadri paths and root operators2017-11-20Paper
https://portal.mardi4nfdi.de/entity/Q45910902017-11-10Paper
From the weak Bruhat order to crystal posets2017-09-26Paper
A Schubert basis in equivariant elliptic cohomology2017-06-29Paper
Combinatorial representation theory of Lie algebras. Richard Stanley's work and the way it was continued2017-05-18Paper
Explicit description of the degree function in terms of quantum Lakshmibai-Seshadri paths2016-05-30Paper
A uniform realization of the combinatorial $R$-matrix2016-05-04Paper
https://portal.mardi4nfdi.de/entity/Q28033442016-05-04Paper
A generalization of the alcove model and its applications2015-06-04Paper
A Uniform Model for Kirillov-Reshetikhin Crystals I: Lifting the Parabolic Quantum Bruhat Graph2015-05-11Paper
The many faces of modern combinatorics2015-03-13Paper
Equivariant K-Chevalley rules for Kac-Moody flag manifolds2014-11-04Paper
A uniform model for Kirillov-Reshetikhin crystals. Extended abstract2014-02-18Paper
Crystal energy functions via the charge in types \(A\) and \(C\)2013-02-06Paper
From Macdonald polynomials to a charge statistic beyond type \(A\)2012-02-11Paper
Hall-Littlewood polynomials, alcove walks, and fillings of Young diagrams2011-02-18Paper
Haglund-Haiman-Loehr type formulas for Hall-Littlewood polynomials of type B and C2011-02-16Paper
Growth diagrams for the Schubert multiplication2010-08-11Paper
Combinatorial constructions of weight bases: the Gelfand-Tsetlin basis2010-03-26Paper
On \(q\)-analogs of weight multiplicities for the Lie superalgebras \(\mathfrak{gl}(n,m)\) and \(\mathfrak{spo}(2n,M)\)2009-08-31Paper
On combinatorial formulas for MacDonald polynomials2008-12-02Paper
A combinatorial model for crystals of Kac-Moody algebras2008-08-07Paper
On the combinatorics of crystal graphs, II. The crystal commutor2008-01-23Paper
Affine Weyl Groups in K-Theory and Representation Theory2007-11-28Paper
On the combinatorics of crystal graphs. I: Lusztig's involution2007-04-18Paper
Alcove path and Nichols-Woronowicz model of the equivariant K-theory of generalized flag varieties2007-02-06Paper
A Pieri-type formula for the ${K}$-theory of a flag manifold2007-02-01Paper
Grothendieck polynomials via permutation patterns and chains in the Bruhat order2006-09-06Paper
The \(K\)-theory of the flag variety and the Fomin--Kirillov quadratic algebra2005-04-07Paper
A unified approach to combinatorial formulas for Schubert polynomials2005-03-15Paper
Skew Schubert polynomials2003-07-28Paper
A \(K\)-theory version of Monk's formula and some related multiplication formulas2003-04-09Paper
Combinatorial aspects of the \(K\)-theory of Grassmannians2001-03-30Paper
Lagrange inversion and Schur functions2000-09-15Paper
Noncommutative Schubert calculus and Grothendieck polynomials1999-06-20Paper
The combinatorics of Steenrod operations on the cohomology of Grassmannians1999-04-20Paper
Symmetric functions, formal group laws, and Lazard's theorem1999-01-26Paper
Hopf algebras of set systems1998-06-02Paper
A Generalized Distance in Graphs and Centered Partitions1998-05-11Paper
Formal group-theoretic generalizations of the necklace algebra, including a \(q\)-deformation1998-03-17Paper
https://portal.mardi4nfdi.de/entity/Q43577971997-12-02Paper
https://portal.mardi4nfdi.de/entity/Q43557831997-09-21Paper
https://portal.mardi4nfdi.de/entity/Q43557841997-09-21Paper
Chromatic polynomials of partition systems1997-09-19Paper
https://portal.mardi4nfdi.de/entity/Q31375551993-11-01Paper
https://portal.mardi4nfdi.de/entity/Q40048971992-09-27Paper
https://portal.mardi4nfdi.de/entity/Q38318821988-01-01Paper

Research outcomes over time


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