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Representations of Truncated Current Lie Algebras

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Type
Preprint
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arXiv ID: 0706.2923
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arXiv
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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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