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Graded q-Schur algebras

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Algebraic Lie Theory

Just 10 years ago, the decomposition matrix theorem for cyclotomic Hecke algebras was generalized to the decomposition matrix theorem for the q-Schur algebra by Varagnolo and Vasserot. This year, Brundan and Kleshchev proved graded analogue of the decomposition matrix theorem for cyclotomic Hecke algebras. Hence it is natural to give graded analogue of the decomposition matrix theorem for the q-Schur algebra. This may be done by defining appropriate setting for the graded version, and following ideas of Hemmer and Nakano, and Leclerc.

This talk is part of the Isaac Newton Institute Seminar Series series.

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