Combinatorics of the sl₂ Spaces of Coinvariants

1999/08/31 by B. Feigin, R. Kedem, S. Loktev +2
Physics and Astronomy · Mathematics · #math-ph #math.MP #math.QA #math.RT

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published as Transformation Groups, Vol. 6, No 1 (2001), p. 25-52 · Minor changes

arxiv created 2001/03/19 · arxiv updated 2009/11/30

Abstract

We consider two types of quotients of the integrable modules of sl₂. These spaces of coinvariants have dimensions described in terms of the Verlinde algebra of level-k. We describe monomial bases for the spaces of coinvariants, which leads to a fermionic description of these spaces. For k=1, we give the explicit formulas for the characters. We also present recursion relations satisfied by the characters and the monomial bases.

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