Multiparameter Twisted Weyl Algebras
arXiv:1103.5500 · doi:10.1016/j.jalgebra.2011.11.004
Abstract
We introduce a new family of twisted generalized Weyl algebras, called multiparameter twisted Weyl algebras, for which we parametrize all simple quotients of a certain kind. Both Jordan's simple localization of the multiparameter quantized Weyl algebra and Hayashi's q-analog of the Weyl algebra are special cases of this construction. We classify all simple weight modules over any multiparameter twisted Weyl algebra. Extending results by Benkart and Ondrus, we also describe all Whittaker pairs up to isomorphism over a class of twisted generalized Weyl algebras which includes the multiparameter twisted Weyl algebras.
20 pages
References in corpus (3)
Cited by in corpus (13)
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- Classification of twisted generalized Weyl algebras over polynomial rings
- Two-parameter analogs of the Heisenberg enveloping algebra
- Simple weight modules over weak Generalized Weyl algebras
- On rational twisted generalized Weyl algebra