Work

Taft algebra actions on preprojective algebras

Year: 2026

Type: article

Abstract: We classify actions of generalized Taft algebras on preprojective algebras of extended Dynkin quivers of type A . This may be viewed as an extension of the problem of classifying actions on the polynomial ring in two variables. In cases where the grouplike element acts via rotation on the underlying quiver, we compute invariants of the Taft action and, in certain cases, show that the invariant ring is isomorphic to the center of the preprojective algebra.

Source: Journal of Noncommutative Geometry

DOI: 10.4171/jncg/668

Authors: Jason Gaddis, Amrei Oswald

Institutions: Miami University, University of Washington

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404348733

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