Endomorphism Algebras of Some Modules for Schur Algebras and Representation Dimension

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We consider the representation dimension, for fixed n ≥ 2, of ordinary and quantised Schur algebras S(n, r) over a field k. For k of positive characteristic p we give a lower bound valid for all p. We also give an upper bound in the quantum case, when k has characteristic 0.
Original languageEnglish
Pages (from-to)623-642
Number of pages20
JournalAlgebras and Representation Theory
Issue number2
Early online date24 Mar 2013
Publication statusPublished - Apr 2014


  • Schur algebra
  • Algebraic group
  • Representation dimension
  • Infinitesimal subgroup

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