$\mathfrak{R}$-matrix for quantum superalgebra $\mathfrak{sl}(2|1)$ at roots of unity and its application to centralizer algebras
Quantum Algebra
2019-09-26 v1
Abstract
We consider fundamental facts from the theory of Hopf superalgebras. We use them to construct the quantum double of the quantum superalgebra at roots of unity. Thus we obtain a multiplicative formula for universal -matrix. Next we construct an -matrix to investigate parametrized family of centralizer algebras. We give multiplication laws in particular case and describe a structure of such algebras in the general case.
Keywords
Cite
@article{arxiv.1909.11613,
title = {$\mathfrak{R}$-matrix for quantum superalgebra $\mathfrak{sl}(2|1)$ at roots of unity and its application to centralizer algebras},
author = {Alexander Mazurenko and Vladimir A. Stukopin},
journal= {arXiv preprint arXiv:1909.11613},
year = {2019}
}
Comments
111 pages