Shroff, Piyush (2012-08). Finite Generation of Cohomology of Quotients of PBW Algebras. Doctoral Dissertation. Thesis uri icon

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.
  • 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.

publication date

  • August 2012