On the W-gravity spectrum and its G-structure

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We present results for the BRST cohomology of $\cW[\bfg]$ minimal models coupled to $\cW[\bfg]$ gravity, as well as scalar fields coupled to $\cW[\bfg]$ gravity. In the latter case we explore an intricate relation to the (twisted) $\bfg$ cohomology of a product of two twisted Fock modules.
14 pages, Typeset in LaTeX (with amssym.def input), query removed such that ps-file can be automatically generated

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