The Ext-algebra of the Brauer tree algebra associated to a line
Olivier Dudas

TL;DR
This paper calculates the Ext-algebra for a specific class of Brauer tree algebras related to lines without exceptional vertices, providing insights into their algebraic structure.
Contribution
It provides the first explicit computation of the Ext-algebra for Brauer tree algebras associated to linear trees without exceptional vertices.
Findings
Explicit description of the Ext-algebra structure
Identification of algebraic invariants
Potential applications to representation theory
Abstract
We compute the Ext-algebra of the Brauer tree algebra associated to a line with no exceptional vertex.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Finite Group Theory Research · Advanced Combinatorial Mathematics
