Hochschild Cohomology of <Emphasis Type="Italic">q</Emphasis>-Schur Algebras |
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Authors: | Mayu Tsukamoto |
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Institution: | 1.Department of Mathematics, Graduate School of Science,Osaka City University,Sumiyoshi-ku,Japan |
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Abstract: | We compute the Hochschild cohomology of any block of q-Schur algebras. We focus on the even part of this Hochschild cohomology ring. To compute the Hochschild cohomology of q-Schur algebras, we prove the following two results: first, we construct two graded algebra surjections between the Hochschild cohomologies of quasi-hereditary algebras because all q-Schur algebras over a field are quasi-hereditary. Second, we give the graded algebra isomorphism of Hochschild cohomologies by using a certain derive equivalence. |
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