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arXiv · 1912.00639

Cyclotomic $q$-Schur superalgebras

Deke Zhao
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Abstract

The paper aims to introduce the cyclotomic $q$-Schur superalgebra via the permutation supermodules of the cyclotomic Hekce algebra and investigate its structure. In particular, we show that the cyclotomic $q$-Schur superalgebra is a cellular superalgebra and establish the Schur-Weyl duality between the cyclotomic Hecke algebra and the cyclotomic $q$-Schur superalgebra.

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BibTeXRIS

Deke Zhao. 2019-12-02. Cyclotomic $q$-Schur superalgebras. https://arxiv.org/abs/1912.00639

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