4 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…
Metric Dimension of a Diagonal Family of Generalized Hamming Graphs
Briana Foster-Greenwood, Christine Uhl
Classical Hamming graphs are Cartesian products of complete graphs, and two vertices are adjacent if they differ in exactly one coordinate. Motivated by connections to unitary Cayl…
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…