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Centralizers in PBW Extensions

2019/10/24 by Tumwesigye, Alex Behakanira, Richter, Johan, Silvestrov, Sergei
#16S35(16W50) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1910.11177

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(A) of the algebra of functions with finite support on a countable set, describing the centralizer of A and the center of the skew PBW extension.

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