ALGEBRAIC COMBINATORICS

no. 6
Quivers of stylic algebras
Abram, Antoine1; Reutenauer, Christophe1; Saliola, Franco V.1
1 Université du Québec à Montréal Département de mathématiques C.P. 8888, Succursale Centre-ville Montréal, QC H3C 3P8
Algebraic Combinatorics, Volume 6 (2023) no. 6, pp. 1621-1635.

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.

Received:
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Accepted:
Published online:
DOI: 10.5802/alco.321
Classification: 05E10, 16G20, 20M25, 20M30
Keywords: representation theory, quiver with relations, quiver presentation, complete system of primitive orthogonal idempotents, $J$-trivial monoid, stylic monoid, plactic monoid
Abram, Antoine 1; Reutenauer, Christophe 1; Saliola, Franco V. 1

1 Université du Québec à Montréal Département de mathématiques C.P. 8888, Succursale Centre-ville Montréal, QC H3C 3P8
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Abram, Antoine; Reutenauer, Christophe; Saliola, Franco V. Quivers of stylic algebras. Algebraic Combinatorics, Volume 6 (2023) no. 6, pp. 1621-1635. doi : 10.5802/alco.321. https://alco.centre-mersenne.org/articles/10.5802/alco.321/

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