Quivers of stylic algebras
Algebraic Combinatorics, Tome 6 (2023) no. 6, pp. 1621-1635

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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.

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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
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     title = {Quivers of stylic algebras},
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     pages = {1621--1635},
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Abram, Antoine; Reutenauer, Christophe; Saliola, Franco V. Quivers of stylic algebras. Algebraic Combinatorics, Tome 6 (2023) no. 6, pp. 1621-1635. doi: 10.5802/alco.321

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