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Presenting Schur superalgebras. - MaRDI portal

Presenting Schur superalgebras. (Q354584)

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scientific article; zbMATH DE number 6189537
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Presenting Schur superalgebras.
scientific article; zbMATH DE number 6189537

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    Presenting Schur superalgebras. (English)
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    19 July 2013
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    The paper gives a presentation, in terms of generators and relations, for the Schur superalgebra and its quantum analogue. The results also include an explicit basis for these algebras and a presentation in terms of weight idempotents in the spirit of Lusztig's modified quantum groups. In the last section it is shown how the \(q\)-Schur superalgebra naturally appears in the quantum Schur-Weyl duality.
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    Schur algebras
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    Schur superalgebras
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    modified quantum groups
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    presentations
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    generators
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    relations
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    quantum Schur-Weyl duality
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