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math.RA2023★ 1 cited
Four-vertex quivers supporting twisted graded Calabi-Yau algebras
Jason Gaddis, Thomas Lamkin, Thy Nguyen +1
We study quivers supporting twisted graded Calabi-Yau algebras, building on work of Rogalski and the first author. Specifically, we classify quivers on four vertices in which the N…
math.RA2022
Centers and automorphisms of PI Quantum Matrix Algebras
Jason Gaddis, Thomas Lamkin
We study PI quantum matrix algebras and their automorphisms using the noncommutative discriminant. In the multi-parameter case at and , we show that all automorphisms ar…
math.RA2021
Universal Enveloping Algebras of Poisson Superalgebras
Thomas Lamkin
In this paper, we define and study the universal enveloping algebra of a Poisson superalgebra. In particular, a new PBW Theorem for Lie-Rinehart superalgebras is proved leading to…