Semisimplicity of Hecke and (walled) Brauer Algebras

Research output: ResearchWorking paper

  • Henning Haahr Andersen
    Henning Haahr Andersen
  • Daniel Tubbenhauer
    Daniel TubbenhauerDeutsche ForschungsgemeinschaftDenmark
  • Catharina Stroppel
    Catharina StroppelUniversity of BonnGermany
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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