Finite Generation of Cohomology of Quotients of PBW Algebras
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In this dissertation we prove nite generation of the cohomology of quotients of a PBW algebra denoted by A by relating it to the cohomology of quotients of a quantum symmetric algebra denoted by S which is isomorphic to the associated graded algebra of A. The proof uses a spectral sequence argument and a nite generation lemma adapted from Friedlander and Suslin.
Shroff, Piyush (2012). Finite Generation of Cohomology of Quotients of PBW Algebras. Doctoral dissertation, Texas A&M University. Available electronically from