论文标题
$ \ imath $ schur Superalgebras的乘法公式和同构定理
Multiplication formulas and isomorphism theorem of $\imath$Schur superalgebras
论文作者
论文摘要
我们介绍了$ \ imath $ schur superalgebra的概念，该概念可以被视为$ q $ -schur superalgebra（A型）的b/c型对应物（a type a型），作为某些签名的$ q $ perm-perm-perm-perm-perm-perm-perm-perm-perm-permy-permmuartize type a type a型。获得了一些$ \ imath $ schur Superalgebra的乘法公式来构建其规范基础。此外，我们在$ \ imath $ scuhr superalgebras和A型A型$ q $ -schur超级甲壳虫之间建立了同构定理，这有助于我们得出$ \ imath $ schur Superalgebras的半倍数标准。
We introduce the notion of $\imath$Schur 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 $\imath$Schur superalgebra are obtained to construct their canonical bases. Furthermore, we established an isomorphism theorem between the $\imath$Scuhr superalgebras and the $q$-Schur superalgebras of type A, which helps us derive a semisimplicity criteria of the $\imath$Schur superalgebras.
