Quantum Weyl algebras and reflection equation algebras at a root of unity

Nicholas Cooney; Iordan Ganev; David Jordan

doi:10.1016/j.jpaa.2020.106440

paper

Quantum Weyl algebras and reflection equation algebras at a root of unity

arXiv:1907.11005 · doi:10.1016/j.jpaa.2020.106440

Abstract

We compute the center and Azumaya locus in the simplest non-abelian examples of quantized multiplicative quiver varieties at a root of unity: quantum Weyl algebras of rank $N$ , and quantum differential operators on the quantum group $GL_{2}$ . These examples illustrate in elementary terms much more general phenomena explored further in [Ganev-Jordan-Safronov 2019].

14 pages