The based ring of two-sided cells of affine Weyl groups of type ̃𝐴_{𝑛-1}

DOI10.1090/memo/0749zbMath1001.20041arXivmath/0010159OpenAlexW2060436110MaRDI QIDQ4534862

Nanhua Xi

Publication date: 18 June 2002

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

Full work available at URL: https://arxiv.org/abs/math/0010159

zbMATH Keywords

Hecke algebrasaffine Weyl groupsreductive algebraic groupsrepresentation ringsbased ringstwo-sided cellsirreducible rational representationsequivariant \(K\)-groups

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Frobenius induction, Burnside and representation rings (19A22) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

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