Canonical bases of the oriented skein category

Fuente: arXiv
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Main Author: Shen, Yaolong
Format: Preprint
Published: 2023
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author Shen, Yaolong
author_facet Shen, Yaolong
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2305_04164
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Canonical bases of the oriented skein category
Shen, Yaolong
Quantum Algebra
Representation Theory
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.
title Canonical bases of the oriented skein category
topic Quantum Algebra
Representation Theory
url https://arxiv.org/abs/2305.04164