3 citations · 3 across the 5 of their papers we have counts for
5 papers
Graded deformations of skew group algebras for cyclic transvection groups acting on polynomial rings in positive characteristic
Lauren Grimley, Naomi Krawzik, Colin M. Lawson +1
We investigate deformations of skew group algebras that arise from a finite cyclic group acting on a polynomial ring in positive characteristic, where characteristic divides the or…
Schur-Weyl Duality for Toroidal Algebras of Type
Vyjayanthi Chari, Lauren Grimley, Zongzhu Lin +3
We state and prove an analog of the Schur-Weyl duality for a quotient of the classical -toroidal Lie algebra of type . We then provide a method to extend this duality to the…
Truncated quantum Drinfeld Hecke algebras and Hochschild cohomology
Lauren Grimley, Christine Uhl
We consider deformations of quantum exterior algebras extended by finite groups. Among these deformations are a class of algebras which we call truncated quantum Drinfeld Hecke alg…
Hochschild cohomology of group extensions of quantum complete intersections
Lauren Grimley
We formulate the Gerstenhaber algebra structure of Hochschild cohomology of finite group extensions of some quantum complete intersections. When the group is trivial, this work cha…
Gerstenhaber brackets on Hochschild cohomology of twisted tensor products
Lauren Grimley, Van C. Nguyen, Sarah Witherspoon
We construct the Gerstenhaber bracket on Hochschild cohomology of a twisted tensor product of algebras, and, as examples, compute Gerstenhaber brackets for some quantum complete in…