Transformation Groups

, Volume 6, Issue 1, pp 25–52

Combinatorics of the\(\widehat{\mathfrak{s}\mathfrak{l}}_2 \) spaces of coinvariants

  • B. Feigin
  • S. Loktev
  • R. Kedem
  • T. Miwa
  • E. Mukhin
Article

DOI: 10.1007/BF01236061

Cite this article as:
Feigin, B., Loktev, S., Kedem, R. et al. Transformation Groups (2001) 6: 25. doi:10.1007/BF01236061

Abstract

We consider two types of quotients of the integrable modules of\(\widehat{\mathfrak{s}\mathfrak{l}}_2 \). These spaces of coinvariants have dimensions described in terms of the Verlinde algebra of levelk. We describe monomial bases for the spaces of coinvariants, which leads to a fermionic description of these spaces. Fork=1, we give explicit formulas for the characters. We also present recursion relations satisfied by the characters and the monomial bases.

Copyright information

© Birkhäuser 2001

Authors and Affiliations

  • B. Feigin
    • 1
  • S. Loktev
    • 2
  • R. Kedem
    • 3
  • T. Miwa
    • 4
  • E. Mukhin
    • 5
  1. 1.Landau Institute for Theoretical PhysicsChernogolovkaRussia
  2. 2.Independent University of MoscowMoscowRussia
  3. 3.Dept. of MathematicsUniversity of MassachusettsAmherstUSA
  4. 4.Department of MathematicsKyoto UniversityKyotoJapan
  5. 5.Dept. of MathematicsUniversity of CaliforniaBerkeleyUSA

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