Cyclotomic q-Schur superalgebras
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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