Hermitian forms for affine Hecke algebras

2013/12/11 by Dan Barbasch, Barbasch, Dan, Dan Ciubotaru +1 · 1 citation
Mathematics · #20C08 #22E50 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1312.3316

openalex publication_date 2013/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Unitary representations attached to parabolic subgroups: the case of abelian unipotent radical

Related

• Star operations for affine Hecke algebras
• Residue construction of Hecke algebras
• Hecke algebras related to the unimodular and modular groups over hermitian fields and definite quaternion algebras
• Double affine Hecke algebras at roots of unity
• Affine Hecke algebras and quiver Hecke algebras