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arXiv · 1910.11177

Centralizers in PBW Extensions

Alex Behakanira Tumwesigye·Johan Richter·Sergei Silvestrov
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Abstract

In this article we give a description for the centralizer of the coefficient ring $R$ in the skew PBW extension $σ(R) .$ We give an explicit description in the quasi-commutative case and state a necessary condition in the general case. We also consider the PBW extension $σ(\mathcal{A}) $ of the algebra of functions with finite support on a countable set, describing the centralizer of $\mathcal{A}$ and the center of the skew PBW extension.

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Alex Behakanira Tumwesigye, Johan Richter, Sergei Silvestrov. 2019-10-28. Centralizers in PBW Extensions. https://arxiv.org/abs/1910.11177

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