Zachary Cline

collaborators

3 papers

math.RA2019

Actions of quantum linear spaces on quantum algebras

Zachary Cline, Jason Gaddis

We study actions of bosonizations of quantum linear spaces on quantum algebras. Under mild conditions, we classify actions on quantum affine spaces and quantum matrix algebras. In…

math.QA2018

On actions of Drinfel'd doubles on finite dimensional algebras

Zachary Cline

Let $q$ be an $n^{t h}$ root of unity for $n > 2$ and let $T_{n} (q)$ be the Taft (Hopf) algebra of dimension $n^{2}$ . In 2001, Susan Montgomery and Hans-Jürgen Schneider classified all…

math.RA2018

PBW deformations of quadratic monomial algebras

Zachary Cline, Andrew Estornell, Chelsea Walton +1

A result of Braverman and Gaitsgory from 1996 gives necessary and sufficient conditions for a filtered algebra to be a Poincaré-Birkhoff-Witt (PBW) deformation of a Koszul algebra.…