Finite Generation of Cohomology of Quotients of PBW Algebras
Abstract
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.
Subject
CohomologyCitation
Shroff, Piyush (2012). Finite Generation of Cohomology of Quotients of PBW Algebras. Doctoral dissertation, Texas A&M University. Available electronically from https : / /hdl .handle .net /1969 .1 /ETD -TAMU -2012 -08 -11589.