Combinatorics of generalized exponents

zbMath1436.05128MaRDI QIDQ2306460

Cédric Lecouvey, Cristian Lenart

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//14.html

zbMATH Keywords

representation theorybranching rulescrystalsLusztig \(q\)-analoguesWeyl characters

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10)

Related Items (2)

Flagged Littlewood-Richardson tableaux and branching rule for orthogonal groups ⋮ A positive combinatorial formula for symplectic Kostka-Foulkes polynomials. I: Rows

Cites Work

• On \(q\)-analogs of weight multiplicities for the Lie superalgebras \(\mathfrak{gl}(n,m)\) and \(\mathfrak{spo}(2n,M)\)
• Characters of the nullcone
• Lusztig data of Kashiwara-Nakashima tableaux in types \(B\) and \(C\)
• Kostka-Foulkes polynomials cyclage graphs and charge statistic for the root system \(C_n\)
• Crystal graphs and \(q\)-analogues of weight multiplicities for the root system \(A_ n\)
• Combinatorics of crystal graphs and Kostka-Foulkes polynomials for the root systems \(B_{n}\), \(C_{n}\) and \(D_{n}\)
• Generalized exponents of small representations. II
• Generalized exponents of small representations. I
• Combinatorial extension of stable branching rules for classical groups
• Lie Group Representations on Polynomial Rings
• A positive combinatorial formula for symplectic Kostka-Foulkes polynomials. I: Rows
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