Generalized exponents of small representations. I

DOI10.1090/S1088-4165-09-00359-8zbMath1250.17012arXiv0904.2483OpenAlexW2963926904MaRDI QIDQ3558887

Bogdan Ion

Publication date: 11 May 2010

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.2483

zbMATH Keywords

Lascoux-Schützenberger charge formularoot systems of type \(A\)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Related Items (3)

Generalized exponents of small representations. II ⋮ Combinatorics of generalized exponents ⋮ Lusztig's \(t\)-analogue of weight multiplicity via crystals

Cites Work

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• Zero weight spaces and the Springer correspondence
• The sum of generalized exponents and Chevalley's restriction theorem for modules of covariants
• Generalized exponents of small representations. II
• Some numerical results on the characters of exceptional Weyl groups
• Limits of Weight Spaces, Lusztig's q-Analogs, and Fiberings of Adjoint Orbits
• First Layer Formulas for Characters of SL(n, C)
• Subgroup lattices and symmetric functions
• Lie Group Representations on Polynomial Rings
• A Geometric Approach to the Representations of the Full Linear Group Over a Galois Field

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