Drinfeld–Manin solutions of the Yang–Baxter equation coming from cube complexes

DOI10.1142/S0218196721500351zbMath1480.16063arXiv2007.01163OpenAlexW3170181028MaRDI QIDQ5002195

Alina Vdovina

Publication date: 27 July 2021

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

Full work available at URL: https://arxiv.org/abs/2007.01163

zbMATH Keywords

Yang-Baxter equation

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Yang-Baxter equations (16T25)

Related Items (1)

\(C^{\star}\)-algebras of higher-rank graphs from groups acting on buildings, and explicit computation of their \(K\)-theory

Cites Work

• Unnamed Item
• Unnamed Item
• The interplay between \(k\)-graphs and the Yang-Baxter equation.
• Yang-Baxter maps and integrable dynamics
• Holographic software for quantum networks
• Simplex equations and their solutions
• Orbihedra of nonpositive curvature
• Set-theoretical solutions to the quantum Yang-Baxter equation
• Higher dimensional generalizations of the Thompson groups
• On some unsolved problems in quantum group theory
• Permutation-type solutions to the Yang - Baxter and othern-simplex equations
• Infinite series of quaternionic 1-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes
• A finitely presented torsion-free simple group
• Simply transitive quaternionic lattices of rank 2 over_q(t) and a non-classical fake quadric
• Lattices in product of trees
• BAXTERIZATION

This page was built for publication: Drinfeld–Manin solutions of the Yang–Baxter equation coming from cube complexes