Work

Endomorphism Algebras of Equivariant Exceptional Collections

Year: 2025

Type: article

Abstract: Given an action of a finite group on a triangulated category with a suitable strong exceptional collection, a construction of Elagin produces an associated strong exceptional collection on the equivariant category. In the untwisted case, we prove that the endomorphism algebra of the induced exceptional collection is the basic reduction of the skew group algebra of the endomorphism algebra of the original exceptional collection.

Source: Algebras and Representation Theory

DOI: 10.1007/s10468-025-10313-0

Authors: Andreas Krug, Erik Nikolov

Institution: Leibniz University Hannover

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,490

Funder: Gottfried Wilhelm Leibniz Universität Hannover