Algebra Seminar - Blake Mattson; University of Iowa Department of Iowa
Nov 6, 2024
03:30 PM - 04:30 PM
2 West Washington Street, Iowa City, IA 52240
Title: H_n -stable ideals of path algebras
Abstract: In this talk, we will use the results of Kinser-Oswald 2021 of a more general U_q(b) acting on the path algebra of a quiver, and look at the case where we take a quotient of U_q(b) to obtain the Taft algebra H_n and examine its action on specific quivers. We will investingate when admissible ideals of path algebras are stable under the H_n action. Generalized results on this topic would allow us to take a Hopf action from a Taft algebra acting on the path algebra of some quiver and know when the same action would be well-defined on a quotient of the path algebra.
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