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

Quantum Algebra 2021-07-07 v1

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 NN, and quantum differential operators on the quantum group GL2\mathrm{GL}_2. These examples illustrate in elementary terms much more general phenomena explored further in [Ganev-Jordan-Safronov 2019].

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Cite

@article{arxiv.1907.11005,
  title  = {Quantum Weyl algebras and reflection equation algebras at a root of unity},
  author = {Nicholas Cooney and Iordan Ganev and David Jordan},
  journal= {arXiv preprint arXiv:1907.11005},
  year   = {2021}
}

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14 pages