Letters in Mathematical Physics

, Volume 31, Issue 4, pp 315–325 | Cite as

Fusion algebra at a rational level and cohomology of nilpotent subalgebras of\(\widehat{\mathfrak{s}\mathfrak{l}}\)(2)

  • Boris Feigin
  • Feodor Malikov


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.

Mathematics Subject Classifications (1991)

17B56 17B67 17B81 81T40 


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Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • Boris Feigin
    • 1
  • Feodor Malikov
    • 2
  1. 1.Landau Institute for Theoretical PhysicsMoscowRussia
  2. 2.Department of MathematicsYale UniversityNew HavenUSA

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