Multiplication formulas and isomorphism theorem of $\imath$Schur superalgebras
Jian Chen, Li Luo
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Abstract
We introduce the notion of Schur superalgebra, which can be regarded as a type B/C counterpart of the -Schur superalgebra (of type A) formulated as centralizer algebras of certain signed -permutation modules over Hecke algebras. Some multiplication formulas for Schur superalgebra are obtained to construct their canonical bases. Furthermore, we established an isomorphism theorem between the Scuhr superalgebras and the -Schur superalgebras of type A, which helps us derive a semisimplicity criteria of the Schur superalgebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Advanced Algebra and Geometry