Semisimplicity of Hecke and (walled) Brauer algebras
作者： HENNING HAAHR ANDERSEN , CATHARINA STROPPEL , DANIEL TUBBENHAUER
DOI: 10.1017/S1446788716000392
关键词: Discrete mathematics 、 Field (mathematics) 、 Endomorphism 、 Pure mathematics 、 Mathematics
摘要: We show how to use Jantzen's sum formula for Weyl modules prove semisimplicity criteria endomorphism algebras of $\textbf{U}_q$-tilting (for any field $\mathbb{K}$ and parameter $q\in\mathbb{K}-\{0,-1\}$). As an application, we recover the Hecke types $\textbf{A}$ $\textbf{B}$, walled Brauer from our more general approach.
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