Cells in modified $\imath$quantum groups of type AIII and related Schur algebras

Autor: Cui, Weideng
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: Adding a few examples and references
Databáze: arXiv