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arXiv · 1408.2312

Affine quasi-heredity of affine Schur algebras

Bangming Deng·Guiyu Yang
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Abstract

In this paper we prove that the affine Schur algebra $\whS(n,r)$ is affine quasi-hereditary. This result is then applied to show that $\whS(n,r)$ has finite global dimension and its centralizer subquotient algebras are Laurent polynomial algebras. We also use the result to give a parameter set of simple $\whS(n,r)$-modules and identify this parameter set with that given in \cite{DDF}.

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BibTeXRIS

Bangming Deng, Guiyu Yang. 2014-08-11. Affine quasi-heredity of affine Schur algebras. https://arxiv.org/abs/1408.2312

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