Symplectic Differential Reduction Algebras and Generalized Weyl Algebras

Given a map Ξ: ( ) → of associative algebras, with ( ) the universal enveloping algebra of a (complex) finite-dimensional reductive Lie algebra g, the restriction functor from -modules to ( )-modules is intimately tied to the representation theory of an -subquotient known as the reduction alg...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2025
Main Authors: Hartwig, Jonas T., Williams II, Dwight Anderson
Format: Article
Language:English
Published: Інститут математики НАН України 2025
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212890
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Symplectic Differential Reduction Algebras and Generalized Weyl Algebras. Jonas T. Hartwig and Dwight Anderson Williams II. SIGMA 21 (2025), 001, 15 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine