Basic representations of quantum current algebras in higher genus

2005/09/02 by B. Enriquez, Benjamin Enriquez, Enriquez, B. +4
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.QA

paper · pdf · doi:10.48550/arxiv.math/0509050

11 pages, typos and acknowledge added

arxiv created 2006/01/12 · arxiv updated 2009/12/01

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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