Work

Examples of Tilting-Discrete Self-Injective Algebras Which Are Not Silting-Discrete

Year: 2024

Type: article

Abstract: In this paper, we introduce the notion of \nu -stable silting-discrete algebras, which unify silting-discrete algebras and tilting-discrete self-injective algebras, where \nu is a triangle auto-equivalence of the bounded homotopy category of finitely generated projective modules. Moreover, we give an example of tilting-discrete self-injective algebras which are not silting-discrete.

Source: Publications of the Research Institute for Mathematical Sciences

DOI: 10.4171/prims/60-2-4

Authors: Takahide Adachi, Ryoichi Kase

Institutions: Yamaguchi University, Okayama University of Science

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: Japan Society for the Promotion of Science

Awards: Reserch on triangulated categories by mutation theory, Studies of tilting-mutation theory and its combinatorial structures