Tilting equivalences: from hereditary algebras to symmetric groups

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Abstract

We study Koszul duality for finite dimensional hereditary algebras, and various generalisations to trivial extension algebras, to Schur algebras, to doubles of Schur bialgebras, and to deformations of doubles of Schur bialgebras. We describe applications to the modular representation theory of symmetric groups.
Original languageEnglish
Pages (from-to)3975-4007
Number of pages33
JournalJournal of Algebra
Volume319
Issue number10
Early online date14 Mar 2008
DOIs
Publication statusPublished - 15 May 2008

Keywords

  • Schur algebras
  • Koszul algebras
  • Koszul duality

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