Twisted generalized Weyl algebras and primitive quotients of enveloping algebras

DOI10.1007/S10468-015-9574-3zbMath1352.16027arXiv1504.05361OpenAlexW2952146914MaRDI QIDQ287492

Jonas T. Hartwig, Vera V. Serganova

Publication date: 20 May 2016

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.05361

zbMATH Keywords

enveloping algebradifferential operatorquotientgeneralized Weyl algebraprimitive ideal

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Graded rings and modules (associative rings and algebras) (16W50) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Universal enveloping algebras of Lie algebras (16S30) Associative rings and algebras arising under various constructions (16S99)

Related Items (6)

Noncommutative fiber products and lattice models ⋮ Grothendieck rings of towers of generalized Weyl algebras in the finite orbit case ⋮ Clifford and Weyl superalgebras and spinor representations ⋮ Classification of twisted generalized Weyl algebras over polynomial rings ⋮ Cylindrical Dyck paths and the Mazorchuk-Turowska equation ⋮ Fixed rings of twisted generalized Weyl algebras

Cites Work

• Unnamed Item
• Modules with bounded weight multiplicities for simple Lie algebras
• *-representations of twisted generalized Weyl constructions
• Multiparameter twisted Weyl algebras.
• Classification of irreducible weight modules
• Simplicity and maximal commutative subalgebras of twisted generalized Weyl algebras.
• Locally finite simple weight modules over twisted generalized Weyl algebras.
• On the consistency of twisted generalized Weyl algebras
• Duflo theorem for a class of generalized Weyl algebras
• Twisted Generalized Weyl Algebras, Polynomial Cartan Matrices and Serre-Type Relations
• Simple weith modules over twisted generalized weyl algebras
• Some associative algebras related to $U(\mathfrak g)$ and twisted generalized Weyl algebras

This page was built for publication: Twisted generalized Weyl algebras and primitive quotients of enveloping algebras