6 papers
Tensor algebras in finite tensor categories
Pavel Etingof, Ryan Kinser, Chelsea Walton
This paper introduces methods for classifying actions of finite-dimensional Hopf algebras on path algebras of quivers, and more generally on tensor algebras where is s…
Noncommutative Knörrer periodicity and noncommutative Kleinian singularities
Andrew Conner, Ellen Kirkman, W. Frank Moore +1
We establish a version of Knörrer's Periodicity Theorem in the context of noncommutative invariant theory. Namely, let be a left noetherian AS-regular algebra, let be a nor…
An Invitation to Noncommutative Algebra
Chelsea Walton
This is a brief introduction to the world of Noncommutative Algebra aimed at advanced undergraduate and beginning graduate students.
Gelfand-Kirillov dimension of cosemisimple Hopf algebras
Alexandru Chirvasitu, Chelsea Walton, Xingting Wang
In this note, we compute the Gelfand-Kirillov dimension of cosemisimple Hopf algebras that arise as deformations of a linearly reductive algebraic group. Our work lies in a purely…
On the quadratic dual of the Fomin-Kirillov algebras
Chelsea Walton, James J. Zhang
We study ring-theoretic and homological properties of the quadratic dual (or Koszul dual) of the Fomin-Kirillov algebras ; these algebras are conne…
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.…