Right \(l\)-groups, geometric Garside groups, and solutions of the quantum Yang-Baxter equation
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Publication:2515622
DOI10.1016/j.jalgebra.2015.04.045zbMath1360.20030OpenAlexW838771954MaRDI QIDQ2515622
Publication date: 5 August 2015
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.04.045
Yang-Baxter equationgeometric latticeself-similarGarside group\(L\)-algebraArtin-Tits groupright \(l\)-group
Braid groups; Artin groups (20F36) Ordered semigroups and monoids (06F05) Ordered groups (group-theoretic aspects) (20F60) Representation of semigroups; actions of semigroups on sets (20M30) Yang-Baxter equations (16T25)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Garside families and Garside germs
- Quadratic algebras, Yang-Baxter equation, and Artin-Schelter regularity
- On the dynamics of (left) orderable groups.
- The group of fractions of a torsion free lcm monoid is torsion free.
- A note on Bosbach's cone algebras
- Right-ordered groups
- Monoids and groups of I-type.
- Braces, radical rings, and the quatum Yang-Baxter equation.
- \(L\)-algebras, self-similarity, and \(l\)-groups
- Retractability of set theoretic solutions of the Yang-Baxter equation
- Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
- Consistent dually semimodular lattices
- Groupes et anneaux reticules
- Semigroups of \(I\)-type
- Gaussian groups are torsion free
- The Radon transforms of the combinatorial geometry. II: Partition lattices
- Orderings of mapping class groups after Thurston
- Yang-Baxter maps and integrable dynamics
- On the set-theoretical Yang-Baxter equation
- Order automatic mapping class groups
- Orderable 3-manifold groups.
- A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation
- On the structure of hoops
- Set-theoretical solutions to the quantum Yang-Baxter equation
- S-verklebte Summen von Verbänden
- Foundations of Garside theory
- On L-spaces and left-orderable fundamental groups
- Set-theoretic solutions of the Yang-Baxter equation, RC-calculus, and Garside germs.
- Rechtskomplementäre Halbgruppen, Axiome, Polynome, Kongruenzen
- Les immeubles des groupes de tresses généralises
- Artin-Gruppen und Coxeter-Gruppen
- Proof of a conjecture on finite modular lattices
- Lattice-ordered groups
- Garside Groups and Yang–Baxter Equation
- Nielsen-Thurston orders and the space of braid orderings
- Groupes de Garside
- Algebraic Analysis of Many Valued Logics
- Decomposition Theory for Lattices Without Chain Conditions
- SET-THEORETIC YANG–BAXTER SOLUTIONS VIA FOX CALCULUS
- Yang-Baxter maps and symmetries of integrable equations on quad-graphs
- Involutive Yang-Baxter groups
- Algebraizable logics
- On some unsolved problems in quantum group theory
- Whitney Number Inequalities for Geometric Lattices
- BRAIDS, ORDERINGS AND ZERO DIVISORS
- Noetherian Properties of Skew Polynomial Rings with Binomial Relations
- Braid Groups and Left Distributive Operations
- Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups
- Pseudo MV-algebras are intervals in ℓ-groups
- A combinatorial approach to the set-theoretic solutions of the Yang–Baxter equation
- Configuration Spaces.
- THE BRAID GROUP AND OTHER GROUPS
- A rank inequality for finite geometric lattices
- The Braid Groups.
- The Lines and Planes Connecting the Points of a Finite Set
- Hilbert Space Extremal Problems with Constraints
- Indecomposable set-theoretical solutions to the quantum Yang-Baxter equation on a set with a prime number of elements
- The center of thin Gaussian groups
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