Article ID Journal Published Year Pages File Type
4586990 Journal of Algebra 2009 14 Pages PDF
Abstract

Let (G,K) be the complex symmetric pair associated with a real reductive Lie group G0. We discuss an algorithmic approach to computing generators for the centralizer of K in the universal enveloping algebra of g. In particular, we compute explicit generators for the cases G0=SU(2,2), SL(3,R), SL(4,R), Sp(4,R), and the exceptional group G2(2).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory