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

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Publication:2220191
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DOI10.1016/j.jpaa.2020.106440OpenAlexW2964134370MaRDI QIDQ2220191

Nicholas Cooney, Iordan Ganev, David Jordan

Publication date: 22 January 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.11005


Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of quivers and partially ordered sets (16G20)


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Dipper Donkin quantized matrix algebra and reflection equation algebra at root of unity



Cites Work

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  • Quantum groups at roots of 1
  • Lie group valued moment maps
  • Quantum function algebra at roots of 1
  • Quantizations of multiplicative hypertoric varieties at a root of unity
  • Quantized Weyl algebras at roots of unity
  • Quantum Weyl algebras
  • Quantized multiplicative quiver varieties.
  • The Ramifications of the Centres: Quantised Function Algebras at Roots of Unity
  • Localization for quantum groups at a root of unity
  • Double affine Hecke algebras at roots of unity
  • Double Poisson algebras
  • On quantization of the Semenov-Tian-Shansky Poisson bracket on simple algebraic groups
  • Cherednik algebras and Hilbert schemes in characteristic 𝑝
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