Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4586990 | Journal of Algebra | 2009 | 14 Pages |
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).
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