Two-term tilting complexes over Brauer tree algebras
Alexandra Zvonareva
TL;DR
This paper classifies all two-term tilting complexes over Brauer tree algebras with multiplicity one, computes their endomorphism rings, and builds on previous classification work of indecomposable complexes.
Contribution
It provides a complete classification of two-term tilting complexes over Brauer tree algebras with multiplicity one, including their endomorphism rings, advancing the understanding of their structure.
Findings
Complete classification of two-term tilting complexes over Brauer tree algebras with multiplicity one
Explicit computation of endomorphism rings of these complexes
Extension of previous classification results for indecomposable complexes
Abstract
In this paper all two-term tilting complexes over a Brauer tree algebra with multiplicity one are described using a classification of indecomposable two-term partial tilting complexes obtained earlier in a joint paper with M. Antipov. The endomorphism rings of such complexes are computed.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons