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On the Representation Dimension of Schur Algebras

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Abstract

Lower bounds for the representation dimension of Schur algebras for GL n in characteristic p ≥ 2n − 1 are established. In particular it is shown that for fixed n the representation dimensions of the Schur algebras get arbitrarily large.

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Authors and Affiliations

  1. Mathematical Institute, 24-29 St Giles, Oxford, OX1 3LB, UK

    Vanessa Miemietz

  2. Institutt for matematiske fag, NTNU, 7491, Trondheim, Norway

    Steffen Oppermann

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  1. Vanessa Miemietz
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  2. Steffen Oppermann
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Correspondence to Vanessa Miemietz.

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Miemietz, V., Oppermann, S. On the Representation Dimension of Schur Algebras. Algebr Represent Theor 14, 283–300 (2011). https://doi.org/10.1007/s10468-009-9189-7

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  • DOI: https://doi.org/10.1007/s10468-009-9189-7

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