Canonical bases of -Brauer algebras and Schur dualities
arXiv:2203.02082
Abstract
Expanding the classical work of Kazhdan-Lusztig, we construct a bar involution and canonical bases on the -Brauer algebra introduced by Wenzl. We define explicit actions of the -Brauer algebra on the tensor spaces, and formulate Schur dualities between the -Brauer algebra and the quantum groups of type AI and AII respectively.
arXiv commentAccepted by Math Research Letters