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arXiv · 1308.4427

Two-parameter analogs of the Heisenberg enveloping algebra

Jason Gaddis
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Abstract

One-parameter analogs of the Heisenberg enveloping algebra were studied previously by Kirkman and Small. In particular, they demonstrated how one may obtain Hayashi's analog of the Weyl algebra as a primitive factor of this algebra. We consider various two-parameter versions of this problem. Of particular interest is the case when the parameters are dependent. Our study allows us to consider the representation theory of a two-parameter version of the Virasoro enveloping algebra.

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Jason Gaddis. 2013-08-20. Two-parameter analogs of the Heisenberg enveloping algebra. https://doi.org/10.1080/00927872.2015.1101468

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