A $(-q)$-analogue of weight multiplicities

zbMath1295.20046arXiv1203.0521MaRDI QIDQ2871004

Zhiwei Yun, George Lusztig

Publication date: 21 January 2014

Full work available at URL: https://arxiv.org/abs/1203.0521

zbMATH Keywords

affine Weyl groupsHermitian formsCoxeter systemsirreducible representationsweight multiplicitiestwisted involutionsLanglands dual groupsgeneralized Kazhdan-Lusztig polynomials

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Geometric Langlands program (algebro-geometric aspects) (14D24)

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Positivity conjectures for Kazhdan-Lusztig theory on twisted involutions: the universal case ⋮ The motivic Satake equivalence

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