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arxiv: 0706.2923 · v2 · submitted 2007-06-20 · 🧮 math.RT · math-ph· math.MP

Representations of Truncated Current Lie Algebras

classification 🧮 math.RT math-phmath.MP
keywords algebratruncatedcurrentdenotealgebrascalledcriteriondescribed
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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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