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math.QA2022
Quantum supersymmetric pairs and Schur duality of type AIII
Yaolong Shen
We construct quantum supersymmetric pairs of type AIII and elucidate their fundamental properties. An Schur duality between the quant…
math.QA2022
Canonical bases of -Brauer algebras and Schur dualities
Weideng Cui, Yaolong Shen
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…