Representations of Truncated Current Lie Algebras

Details Representations of Truncated Current Lie Algebras Representations of Truncated Current Lie Algebras

2007-06-20

arxiv.org/abs/0706.2923v2

Mathematics

Representation Theory

5 pages. A summary of the article 'Highest-Weight Theory for Truncated Current Lie Algebras' published on the arxiv

Scientific paper

Let g denote a Lie algebra, and let T(g) denote the tensor product of g with
a ring of truncated polynomials. The Lie algebra T(g) is called a truncated
current Lie algebra. The highest-weight representation theory of T(g) is
developed, and a reducibility criterion for the Verma modules is described.

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