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Basic representations of quantum current algebras in higher genus

B. Enriquez, S. Pakuliak, V. Rubtsov

math.QAarXiv:math/0509050

Abstract

We construct level 1 basic representations of the quantized current algebras associated to higher genus algebraic curves using one free field. We also clarify the relation between the elliptic current algebras of the papers [EF] and [JKOS].

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