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math.RT2024
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…
math.RT2016★ 3 cited
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…
math.RT2015
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…