Coinvariants of nilpotent subalgebras of the Virasoro algebra and partition identities

Abstract

We prove that the dimensions of coinvariants of certain nilpotent subalgebras of the Virasoro algebra do not change under deformation in the case of irreducible representations of (2,2r+1) minimal models. We derive a combinatorial description of these representations and the Gordon identities from this result.

9 pages, amslatex; for non-amslatex users the .dvi file is available via anonymous ftp from math.harvard.edu/pub:coinv.dvi