Quivers of stylic algebras
Antoine Abram, Christophe Reutenauer, Franco Saliola
TL;DR
This paper provides a detailed quiver presentation and constructs primitive orthogonal idempotents for the stylic monoid algebra, enhancing understanding of its algebraic structure.
Contribution
It introduces an explicit quiver presentation and a complete system of primitive orthogonal idempotents for the stylic monoid algebra, which was not previously known.
Findings
Explicit quiver presentation of the stylic monoid algebra
Construction of primitive orthogonal idempotents
Enhanced understanding of the algebra's structure
Abstract
We construct a complete system of primitive orthogonal idempotents and give an explicit quiver presentation of the monoid algebra of the stylic monoid introduced by Abram and Reutenauer [arXiv:2106.06556].
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Commutative Algebra and Its Applications · Advanced Combinatorial Mathematics