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arXiv · 1907.11005

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

Nicholas Cooney·Iordan Ganev·David Jordan
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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 $\mathrm{GL}_2$. These examples illustrate in elementary terms much more general phenomena explored further in [Ganev-Jordan-Safronov 2019].

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Nicholas Cooney, Iordan Ganev, David Jordan. 2019-07-25. Quantum Weyl algebras and reflection equation algebras at a root of unity. https://doi.org/10.1016/j.jpaa.2020.106440

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