Canonical bases of the oriented skein category

Published 7 May 2023 in math.QA and math.RT | (2305.04164v3)

Abstract: 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 to Kazhdan-Lusztig type bases on quantized walled Brauer algebras.

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Yaolong Shen

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