Semisimplicity of Hecke and (walled) Brauer Algebras

Research output: Working paper

    Henning Haahr Andersen, Daniel Tubbenhauer, Deutsche Forschungsgemeinschaft, DenmarkCatharina Stroppel, University of Bonn, Germany
We show how to use Jantzen's sum formula for Weyl modules to prove semisimplicity criteria for endomorphism algebras of Uq-tilting modules (for any field 핂 and any parameter q∈핂−{0,−1}). As an application, we recover the semisimplicity criteria for the Hecke algebras of types A and B, the walled Brauer algebras and the Brauer algebras from our more general approach.
Original languageEnglish
PublisherarXiv.org
Number of pages38
StatePublished - 2015

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