Canonical bases of the oriented skein category
Quantum Algebra
2024-01-15 v3 Representation Theory
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.
Keywords
Cite
@article{arxiv.2305.04164,
title = {Canonical bases of the oriented skein category},
author = {Yaolong Shen},
journal= {arXiv preprint arXiv:2305.04164},
year = {2024}
}
Comments
v1. 27 pages; v2. added reference, modified introduction; v3. we extend the constructions from the algebra level to all morphism spaces of the oriented category