Tropical plactic algebra, the cloaktic monoid, and semigroup representations

DOI10.1016/j.jalgebra.2018.12.014zbMath1468.06034arXiv1701.05156OpenAlexW2963698234MaRDI QIDQ1727711

Zur Izhakian

Publication date: 20 February 2019

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05156

zbMATH Keywords

symmetric groupYoung tableauxidempotent semiringsplactic monoidsemigroup identitiessemigroup representationstropical matrix algebracloaktic monoidcolored weighted digraphsconfiguration tableauxforward semigrouptropical plactic algebra

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Groups and semigroups of linear operators (47D03) Structure and representation theory of distributive lattices (06D05) Semirings (16Y60) Ordered semigroups and monoids (06F05) Representation of semigroups; actions of semigroups on sets (20M30) Arithmetic theory of semigroups (20M13)

Related Items

Permutability of matrices over bipotent semirings, Geometry and algorithms for upper triangular tropical matrix identities, Tropical linear representations of the Chinese monoid, Tropical representations and identities of the stylic monoid, Identities and bases in the Sylvester and Baxter monoids, Generation of summand absorbing submodules, Equational theories of upper triangular tropical matrix semigroups, Tropical representations and identities of plactic monoids, Semigroup identities of supertropical matrices, Amalgamation and extensions of summand absorbing modules over a semiring, Identities and bases in the hypoplactic monoid

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