Atomic decomposition of characters and crystals

zbMath1436.05129MaRDI QIDQ5919513

Cristian Lenart, Cédric Lecouvey

Publication date: 23 March 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2019//40.html

zbMATH Keywords

atomic decompositiondominance ordercrystal graphKostka-Foulkes polynomial

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Related Items (2)

Lattice of dominant weights of affine Kac-Moody algebras ⋮ Atomic decomposition of characters and crystals

Cites Work

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• On \(q\)-analogs of weight multiplicities for the Lie superalgebras \(\mathfrak{gl}(n,m)\) and \(\mathfrak{spo}(2n,M)\)
• Spherical functions and a \(q\)-analogue of Kostant's weight multiplicity formula
• Crystal bases of modified quantized enveloping algebra
• The lattice of integer partitions
• Geometric Langlands duality and representations of algebraic groups over commutative rings
• A symplectic jeu de taquin bijection between the tableaux of King and of De Concini
• Atomic decomposition of characters and crystals
• Multi-atoms and monotonicity of generalized Kostka polynomials
• From moment graphs to intersection cohomology

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