Center of the stated skein algebra
Quantum Algebra
2023-09-27 v1 Geometric Topology
Abstract
The stated skein algebra is a generalization of the Kauffman bracket skein algebra introduced in the study of quantum trace maps. When the quantum parameter is a root of unity, the stated skein algebra has a big center and is finitely generated as a module over the center. We give the center a simple description and calculate the dimension over center of the stated skein algebra.
Keywords
Cite
@article{arxiv.2309.14713,
title = {Center of the stated skein algebra},
author = {Tao Yu},
journal= {arXiv preprint arXiv:2309.14713},
year = {2023}
}
Comments
19 pages, 8 figures