On the affine Schur algebra of type A II

Details On the affine Schur algebra of type A II On the affine Schur algebra of type A II

2006-09-23

arxiv.org/abs/math/0609660v1

Mathematics

Rings and Algebras

10pages, also available at http://learn.tsinghua.edu.cn:8080/2002315664/dyang.htm

Scientific paper

By studying certain kind of centralizer algebras of the affine Schur algebra
$\widetilde{S}(n,r)$ we show that $\widetilde{S}(n,r)$ is Noetherian and we
determine its center. Assuming $n\geq r$, 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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