Year: 2025
Type: article
Abstract: This article undertakes an exploration of a particular variant of multiparameter quantum symplectic algebras, focusing specifically on the quantum Heisenberg algebra at the roots of unity. In this context, the algebra undergoes a transformation into Polynomial Identity algebra, where the dimensions of the simple modules are restricted by their PI degree. We conduct an extensive examination of all possible maximal dimensional simple modules associated with this algebra. Additionally, we present a condition that is both necessary and sufficient for the attainment of maximal dimensional simple modules, thereby facilitating the classification of its Azumaya locus.
Source: Comptes Rendus Mathématique
DOI: 10.5802/crmath.723
Author: Snehashis Mukherjee
Institution: Indian Statistical Institute, Bangalore Centre
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: Indian Statistical Institute
OpenAlex ID: W4410524491