Odd and even Fibonacci lattices arising from a Garside monoid

DOI10.1007/s00012-024-00867-3zbMATH Open1548.2006MaRDI QIDQ6610060

Baptiste Rognerud, Thomas Gobet

Publication date: 24 September 2024

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

zbMATH Keywords

latticeSchröder treeGarside monoid

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Braid groups; Artin groups (20F36) Chains and lattices of subgroups, subnormal subgroups (20E15) Algebraic monoids (20M32)

Cites Work

• A new approach to the word and conjugacy problems in the braid groups
• Realization of the Stasheff polytope
• On some torus knot groups and submonoids of the braid groups
• Foundations of Garside theory
• Some explicit and recursive formulas of the large and little Schröder numbers
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• The dual braid monoid
• Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups
• THE BRAID GROUP AND OTHER GROUPS
• A new Garside structure on torus knot groups and some complex braid groups

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