Abstract
We provide a combinatorial characterization of two-sided cells in modified ıquantum groups of type AIII. Our approach is to lift a corresponding description of two-sided cells in ȷ-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 ı-Schur algebras and ı˜-Schur algebras.
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