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Central extensions of quantum current groups
Authors:N Yu Reshetikhin  M A Semenov-Tian-Shansky
Institution:(1) LOMI, Fontanka 27, 191011 Leningrad, USSR
Abstract:We describe Hopf algebras which are central extensions of quantum current groups. For a special value of the central charge, we describe Casimir elements in these algebras. New types of generators for quantum current algebra and its central extension for quantum simple Lie groups, are obtained. The application of our construction to the elliptic case is also discussed.
Keywords:16A24  17B55  22E65
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