Noncommutative inclusion–exclusion, representations of left regular bands and the Tsetlin library

DOI10.1142/S021819672150003XzbMath1491.20137OpenAlexW3084445504MaRDI QIDQ5854488

Guy Blachar, Uzi Vishne, Louis Halle Rowen

Publication date: 17 March 2021

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021819672150003x

zbMATH Keywords

left regular bandsTsetlin libraryinclusion-exclusioncoherent systems of polynomials

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Connections of semigroups with homological algebra and category theory (20M50) Representation of semigroups; actions of semigroups on sets (20M30) Rings with polynomial identity (16R99)

Cites Work

• Representation theory of finite monoids
• Semigroups embeddable in hyperplane face monoids.
• A combinatorial description of the spectrum for the Tsetlin library and its generalization to hyperplane arrangements
• THE QUIVER OF THE SEMIGROUP ALGEBRA OF A LEFT REGULAR BAND
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