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arxiv: 2305.01609 · v1 · pith:PCNTW2IWnew · submitted 2023-05-02 · 🧮 math.RA · math.RT

The Weyl algebra and its friends: a survey

classification 🧮 math.RA math.RT
keywords weylalgebrasalgebrageneralizedsurveytheoryattentionbell-rogalski
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We survey several generalizations of the Weyl algebra including generalized Weyl algebras, twisted generalized Weyl algebras, quantized Weyl algebras, and Bell-Rogalski algebras. Attention is paid to ring-theoretic properties, representation theory, and invariant theory.

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