Finite Generation of the Cohomology of Quotients of PBW Algebras

Published 4 Jul 2012 in math.RA | (1207.0884v1)

Abstract: In this article we prove finite generation of the cohomology of quotients of a PBW algebra A by relating it to the cohomology of quotients of a quantum symmetric algebra S which is isomorphic to the associated graded algebra of A. The proof uses a spectral sequence argument and a finite generation lemma adapted from Friedlander and Suslin.

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Piyush Shroff

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