Azumaya Loci Of The Quantum Euclidean $2n$-Space
Representation Theory
2023-12-07 v4 Quantum Algebra
Abstract
This article delves into the Azumaya loci of quantum euclidean 2n-space, providing a comprehensive exploration. We introduce a significant class of maximal-dimensional simple modules associated with this algebra. Moreover, we establish a proof asserting that the maximal-dimensional simple modules are exactly the ones we have constructed. The computation of the algebra's center, coupled with the necessary and sufficient conditions derived for maximal-dimensional simple modules, enables us to determine the Azumaya locus of the algebra.
Cite
@article{arxiv.2011.04935,
title = {Azumaya Loci Of The Quantum Euclidean $2n$-Space},
author = {Snehashis Mukherjee},
journal= {arXiv preprint arXiv:2011.04935},
year = {2023}
}
Comments
15 pages; v4 is a substantial rewrite and the paper is now focused on Azumaya loci of quantum euclidean 2n-space