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On the Affine Schur Algebra of Type A II
Authors:Dong Yang
Affiliation:(1) Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, Peoples Republic of China
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. The author acknowledges support by National Natural Science Foundation of China No.10131010.
Keywords:Affine Schur algebra  Centralizer subalgebra  Schur functor
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