Symplectic Differential Reduction Algebras and Generalized Weyl Algebras

• 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
• 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

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 algebra with...