论文标题
修改后的$ \ imath $量子组中的单元格和相关的schur代数组
Cells in modified $\imath$quantum groups of type AIII and related Schur algebras
论文作者
论文摘要
我们在修改的$ \ imath $ Quantum型AIII中提供了双面细胞的组合表征。我们的方法是在$ \ jmath $ -schur代数中提起与$ hecke $ b $的代数相关的双面单元的相应描述。我们进一步对其他两种Schur型代数的双面单元进行了组合描述，即$ \ imath $ -schur代数和$ \ tilde {\ imath} $ - Schur代数。
We provide a combinatorial characterization of two-sided cells in modified $\imath$quantum groups of type AIII. Our approach is to lift a corresponding description of two-sided cells in $\jmath$-Schur algebras associated to Iwahori--Hecke algebras of type $B$. We further give a combinatorial description of two-sided cells in other two kinds of Schur-type algebras, namely $\imath$-Schur algebras and $\tilde{\imath}$-Schur algebras.
