Report on locally finite triangulated categories
Henning Krause
TL;DR
This paper explores the fundamental properties of locally finite triangulated categories, emphasizing Auslander--Reiten theory and the structure of their thick subcategories.
Contribution
It provides a detailed analysis of locally finite triangulated categories, highlighting new insights into their Auslander--Reiten theory and subcategory lattice structure.
Findings
Enhanced understanding of Auslander--Reiten theory in these categories
Characterization of the lattice of thick subcategories
Foundational properties established for locally finite triangulated categories
Abstract
The basic properties of locally finite triangulated categories are discussed. The focus is on Auslander--Reiten theory and the lattice of thick subcategories.
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