Combinatorics and structure of Hecke–Kiselman algebras

DOI10.1142/S0219199720500224zbMath1462.16029arXiv1904.12202OpenAlexW3106517217MaRDI QIDQ5117145

Magdalena Wiertel, Okniński, Jan

Publication date: 20 August 2020

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.12202

zbMATH Keywords

reduced wordssimple graphmonoidNoetherian algebraalgebra of matrix typeHecke-Kiselman algebra

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Ordinary and skew polynomial rings and semigroup rings (16S36) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Free semigroups, generators and relations, word problems (20M05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (4)

Irreducible representations of Hecke-Kiselman monoids ⋮ The Gelfand-Kirillov dimension of Hecke-Kiselman algebras ⋮ Normal form in Hecke-Kiselman monoids associated with simple oriented graphs ⋮ On the radical of a Hecke-Kiselman algebra

Cites Work

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• Ring theoretical properties of affine cellular algebras
• Affine cellular algebras.
• On the representation theory of finite \(J\)-trivial monoids
• Representation and classification of Coxeter monoids
• The diamond lemma for ring theory
• Growth alternative for Hecke-Kiselman monoids
• Hecke-Kiselman monoids of small cardinality.
• Monoid algebras of projection functors.
• Generic flatness for strongly Noetherian algebras
• Gröbner basis and the automaton property of Hecke-Kiselman algebras
• On Kiselman quotients of 0-Hecke monoids
• Affine algebras of Gelfand-Kirillov dimension one are PI

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