Noncommutative discriminants via Poisson primes
Rings and Algebras
2018-07-20 v5 Quantum Algebra
Symplectic Geometry
Abstract
We present a general method for computing discriminants of noncommutative algebras. It builds a connection with Poisson geometry and expresses the discriminants as products of Poisson primes. The method is applicable to algebras obtained by specialization from families, such as quantum algebras at roots of unity. It is illustrated with the specializations of the algebras of quantum matrices at roots of unity and more generally all quantum Schubert cell algebras.
Cite
@article{arxiv.1603.02585,
title = {Noncommutative discriminants via Poisson primes},
author = {Bach Nguyen and Kurt Trampel and Milen Yakimov},
journal= {arXiv preprint arXiv:1603.02585},
year = {2018}
}
Comments
30 pages, AMS Latex. Final version; accepted for Advances in Mathematics