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Статья

Combinatorics of the sl2∧ Spaces of Coinvariants

Transformation Groups. 2001. Vol. 6. No. 1. P. 25-52.
Mukhin E., Feigin B. L., Loktev S., Miwa T., Kedem R.

We consider two types of quotients of the integrable modules of sl<sub>2</sub><sup>&and;</sup>. 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.