科研之友
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摘要
We introduce the notion of iSchur superalgebra, which can be regarded as a type B/C counterpart of the q-Schur superalgebra (of type A) formulated as centralizer algebras of certain signed q-permutation modules over Hecke algebras. Some multiplication formulas for iSchur superalgebra are obtained to construct their canonical bases. Furthermore, we established an isomorphism theorem between the iScuhr superalgebras and the q-Schur superalgebras of type A, which helps us derive semisimplicity criteria of the iSchur superalgebras.
