Canonical bases of $q$-Brauer algebras and $\imath$Schur dualities
| Autor: | Cui, Weideng, Shen, Yaolong |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | Expanding the classical work of Kazhdan-Lusztig, we construct a bar involution and canonical bases on the $q$-Brauer algebra introduced by Wenzl. We define explicit actions of the $q$-Brauer algebra on the tensor spaces, and formulate $\imath$Schur dualities between the $q$-Brauer algebra and the $\imath$quantum groups of type AI and AII respectively. Comment: Accepted by Math Research Letters |
| Databáze: | arXiv |
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