Multiparameter Twisted Weyl Algebras

Details Multiparameter Twisted Weyl Algebras Multiparameter Twisted Weyl Algebras

2011-03-28

arxiv.org/abs/1103.5500v1

Mathematics

Quantum Algebra

20 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Multiparameter Twisted Weyl Algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multiparameter Twisted Weyl Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiparameter Twisted Weyl Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-162319