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math.RT2023★ 1 cited
Quasi-parabolic Kazhdan-Lusztig bases and reflection subgroups
Zachary Carlini, Yaolong Shen
Recently, Wang and the second author constructed a bar involution and canonical basis for a quasi-permutation module of the Hecke algebra associated to a type B Weyl group , whe…
math.QA2023
Canonical bases of the oriented skein category
Yaolong Shen
We develop a bar involution and canonical basis for every morphism space of the oriented skein category through a diagrammatic approach. In particular, our construction gives rise…