Modules for Yokonuma-type Hecke algebras

2015/12/06 by Ojas Davé, J. Matthew Douglass, Dave, Ojas +1 · 1 citation
Mathematics · #20C08 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1512.01820

openalex publication_date 2015/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper describes the module categories for a family of generic Hecke algebras that specialize to the complex reflection groups G(r,1,n) and to the certain endomorphism rings of permutation characters of finite general linear groups. In particular, complete sets of inequivalent, irreducible modules for semisimple specializations of these algebras are constructed.

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