Coinvariants of nilpotent subalgebras of the Virasoro algebra and partition identities

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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

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