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arxiv: math/0201284 · v2 · submitted 2002-01-29 · 🧮 math.RT · hep-th· math-ph· math.MP

Irreducible Representations of a Class of Current Algebras of Etingof and Frenkel

classification 🧮 math.RT hep-thmath-phmath.MP
keywords classrepresentationsalgebrascurrentetingoffrenkelbrieflycentral
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A class of representations is described for the central extensions, found by Etingof and Frenkel, of current algebras over Riemann surfaces. Their irreducibility is proved. The possibility/impossibility to obtain integrable representations within that class is discussed briefly.

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