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Endomorphism Algebras of Some Modules for Schur Algebras and Representation Dimension

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, University of York, York, YO10 5DD, UK

    Stephen Donkin & Haralampos Geranios

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  1. Stephen Donkin
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  2. Haralampos Geranios
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Correspondence to Stephen Donkin.

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Donkin, S., Geranios, H. Endomorphism Algebras of Some Modules for Schur Algebras and Representation Dimension. Algebr Represent Theor 17, 623–642 (2014). https://doi.org/10.1007/s10468-013-9412-4

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  • DOI: https://doi.org/10.1007/s10468-013-9412-4

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