The quantum isomeric supercategory
Quantum Algebra
2024-05-15 v3 Category Theory
Representation Theory
Abstract
We introduce the quantum isomeric supercategory and the quantum affine isomeric supercategory. These diagrammatically defined supercategories, which can be viewed as isomeric analogues of the HOMFLYPT skein category and its affinization, provide powerful categorical tools for studying the representation theory of the quantum isomeric superalgebras (commonly known as quantum queer superalgebras).
Cite
@article{arxiv.2207.03254,
title = {The quantum isomeric supercategory},
author = {Alistair Savage},
journal= {arXiv preprint arXiv:2207.03254},
year = {2024}
}
Comments
39 pages; v2: corrected Remark 4.10 and other minor corrections; v3: published version