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Fusion algebra at a rational level and cohomology of nilpotent subalgebras ofwidehat{mathfrak{s}mathfrak{l}}(2)
Authors:Boris Feigin  Feodor Malikov
Affiliation:(1) Landau Institute for Theoretical Physics, Moscow, Russia;(2) Department of Mathematics, Yale University, 06520 New Haven, CT, USA
Abstract:We define and calculate the fusion algebra of a WZW model at a rational level using cohomological methods. As a byproduct, we obtain a cohomological characterization of admissible representations of
$$widehat{mathfrak{s}mathfrak{l}}$$
2.
Keywords:17B56  17B67  17B81  81T40
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