The Orlov spectra of abelian categories
Junling Zheng, Yu-Zhe Liu
TL;DR
This paper introduces the concept of Orlov spectra for Abelian categories and investigates their properties, providing specific results for algebras of type A_n, advancing understanding in this area.
Contribution
It defines Orlov spectra for Abelian categories and analyzes their properties, including explicit results for type A_n algebras, a novel contribution in the field.
Findings
Orlov spectra are defined for Abelian categories.
Properties of Orlov spectra are studied.
Explicit results for type A_n algebras are provided.
Abstract
We introduced the notion of Orlov spectra of Abelian categories, and study its some properties. In particular, we give precise result of Orlov spectra of algebras with type .
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Taxonomy
TopicsRings, Modules, and Algebras · Homotopy and Cohomology in Algebraic Topology · Axon Guidance and Neuronal Signaling