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math.CO2022★ 1 cited
Quasi-crystals for arbitrary root systems and associated generalizations of the hypoplactic monoid
Alan J. Cain, Ricardo P. Guilherme, António Malheiro
The hypoplactic monoid was introduced by Krob and Thibon through a presentation and through quasi-ribbon tableaux and an insertion algorithm. Just as Kashiwara crystals enriched th…
math.CO2022
Idempotent Varieties of Incidence Monoids and Bipartite Posets
Mahir Bilen Can, Ana Casimiro, Antonio Malheiro
The algebraic variety defined by the idempotents of an incidence monoid is investigated. Its irreducible components are determined. The intersection with an antichain submonoid is…