Locally finite simple weight modules over twisted generalized Weyl algebras.

DOI10.1016/j.jalgebra.2006.05.036zbMath1127.16019arXivmath/0502352OpenAlexW2083852652MaRDI QIDQ2509245

Jonas T. Hartwig

Publication date: 19 October 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502352

zbMATH Keywords

simple modulesinduced modulesquantized Weyl algebrassimple weight modulestwisted generalized Weyl algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Ordinary and skew polynomial rings and semigroup rings (16S36) Rings of differential operators (associative algebraic aspects) (16S32) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items

Twisted generalized Weyl algebras and primitive quotients of enveloping algebras ⋮ Simplicity and maximal commutative subalgebras of twisted generalized Weyl algebras. ⋮ Noncommutative fiber products and lattice models ⋮ Grothendieck rings of towers of twisted generalized Weyl algebras ⋮ The group of automorphisms of the Jacobian algebra \(\mathbb A_n\). ⋮ Indecomposable generalized weight modules over the algebra of polynomial integro-differential operators ⋮ Clifford and Weyl superalgebras and spinor representations ⋮ Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey ⋮ The isomorphism problem for multiparameter quantized Weyl algebras. ⋮ Multiparameter twisted Weyl algebras. ⋮ Classification of twisted generalized Weyl algebras over polynomial rings ⋮ The Jacobian algebras. ⋮ Cylindrical Dyck paths and the Mazorchuk-Turowska equation ⋮ Twisted Generalized Weyl Algebras, Polynomial Cartan Matrices and Serre-Type Relations ⋮ On the consistency of twisted generalized Weyl algebras ⋮ Relations of the algebra of polynomial integrodifferential operators ⋮ Simple weight modules over weak generalized Weyl algebras. ⋮ Fixed rings of twisted generalized Weyl algebras

Cites Work

• Finite dimensionality of \(\text{Ext}^ n\)'s and \(\text{Tor}_ n\)'s of simple modules over one class of algebras
• Weight modules over generalized Weyl algebras
• A Class of Algebras Similar to the Enveloping Algebra of sl(2)
• Simple weith modules over twisted generalized weyl algebras
• Some associative algebras related to $U(\mathfrak g)$ and twisted generalized Weyl algebras
• Indecomposable representations of generalized weyl algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Locally finite simple weight modules over twisted generalized Weyl algebras.