Hermitian forms for affine Hecke algebras

Dan Barbasch; Dan Ciubotaru

Hermitian forms for affine Hecke algebras

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arxiv 1312.3316 v2 pith:3FQKKWZ5 submitted 2013-12-11 math.RT

Dan Barbasch , Dan Ciubotaru This is my paper · ORCID

classification math.RT

keywords algebrasaffineformsheckehermitianalgorithmdimensionalfinite

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We study star operations for Iwahori-Hecke algebras and invariant hermitian forms for finite dimensional modules over (graded) affine Hecke algebras with a view towards a unitarity algorithm.

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Weights and characters for affine Hecke algebras
math.RT 2026-07 accept novelty 6.5 of 10

Weights uniquely determine simple modules for quasi-simply-connected affine Hecke algebras, and induction/restriction along isogenies preserve semisimplicity, Hermitian duals and unitarity.

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