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

Weideng Cui

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

Representation Theory 2022-12-27 v3

Authors: Weideng Cui

Abstract

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.

Keywords

modified iquantum groups type aiib two-sided cells schur algebras combinatorial characterization iwahori-hecke algebras

Cite

@article{arxiv.2207.06178,
  title  = {Cells in modified $\imath$quantum groups of type AIII and related Schur algebras},
  author = {Weideng Cui},
  journal= {arXiv preprint arXiv:2207.06178},
  year   = {2022}
}

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Adding a few examples and references

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

Abstract

Keywords

Cite

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