The almost split triangles for perfect complexes over gentle algebras
Grzegorz Bobinski
TL;DR
This paper characterizes the structure of almost split sequences within the homotopy category of perfect complexes specifically over gentle algebras, providing insights into their representation theory.
Contribution
It offers a detailed description of almost split triangles in the homotopy category of perfect complexes over gentle algebras, a novel contribution to the understanding of their derived categories.
Findings
Explicit description of almost split triangles
Enhanced understanding of gentle algebra representations
New tools for studying derived categories
Abstract
In the paper we describe the almost split sequences in the homotopy category of perfect complexes over a gentle algebra.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Commutative Algebra and Its Applications