Quantum Weyl algebras and reflection equation algebras at a root of unity
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 GL2. These examples illustrate in elementary terms much more general phenomena explored further in [Ganev-Jordan-Safronov 2019].
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