Representations of Truncated Current Lie Algebras

2007/06/20 by Benjamin J. Wilson, Wilson, Benjamin J.
Mathematics · Physics and Astronomy · #17B10 #17B65 #17B67 #17B68 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Representation Theory (math.RT) #math-ph #math.MP #math.RT #msc:17B10 #msc:17B65 #msc:17B67 #msc:17B68

paper · pdf · doi:10.48550/arxiv.0706.2923

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

arxiv created 2007/10/16 · arxiv updated 2009/12/01

Abstract

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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