9 citations · 9 across the 5 of their papers we have counts for
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PBW deformations of skew polynomial rings and their group extensions
Piyush Shroff, Sarah Witherspoon
We examine PBW deformations of finite group extensions of skew polynomial rings, in particular the quantum Drinfeld orbifold algebras defined by the first author. We give a homolog…
Quantum Drinfeld Orbifold Algebras
Piyush Shroff
Quantum Drinfeld orbifold algebras are the generalizations of Drinfeld orbifold algebras, which are obtained by replacing polynomial rings by quantum polynomial rings. Shepler and…
Finite Generation of the Cohomology of Quotients of PBW Algebras
Piyush Shroff
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…
Hochschild cohomology of group extensions of quantum symmetric algebras
Deepak Naidu, Piyush Shroff, Sarah Witherspoon
Quantum symmetric algebras (or noncommutative polynomial rings) arise in many places in mathematics. In this article we find the multiplicative structure of their Hochschild cohomo…