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On the Affine Schur Algebra of Type A II

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Abstract

By studying certain centralizer subalgebras of the affine Schur algebra \(\widetilde{S}(n,r)\) we show that \(\widetilde{S}(n,r)\) is Noetherian and we determine its center. Assuming n ≥ r, we show that \(\widetilde{S}(n+1,r)\) is Morita equivalent to \(\widetilde{S}(n,r)\), and the Schur functor is an equivalence under certain conditions.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, Peoples Republic of China

    Dong Yang

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  1. Dong Yang
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Correspondence to Dong Yang.

Additional information

The author acknowledges support by National Natural Science Foundation of China No.10131010.

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Yang, D. On the Affine Schur Algebra of Type A II. Algebr Represent Theor 12, 63–75 (2009). https://doi.org/10.1007/s10468-008-9097-2

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  • DOI: https://doi.org/10.1007/s10468-008-9097-2

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