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The Weyl algebra and its friends: a survey

Published 2 May 2023 in math.RA and math.RT | (2305.01609v1)

Abstract: 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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