A nested sequence of projectors and corresponding braid matrices R̂(θ). 1. Odd dimensions

DOI10.1063/1.1900291zbMath1110.82019arXivmath/0401207OpenAlexW1833193455MaRDI QIDQ3438490

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Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401207

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (6)

Nested sequence of projectors. II. Multiparameter multistate statistical models, Hamiltonians, S-matrices ⋮ New class ôN of statistical models: Transfer matrix eigenstates, chain Hamiltonians, factorizable S matrix ⋮ Multiparameter statistical models from \(N^2 \times N^2\) braid matrices: explicit eigenvalues of transfer matrices \textbf{T}\(^{(r)}\), spin chains, factorizable scatterings for all \(N\) ⋮ Higher dimensional unitary braid matrices: Construction, associated structures, and entanglements ⋮ Higher dimensional multiparameter unitary and nonunitary braid matrices: Even dimensions ⋮ A new eight vertex model and higher dimensional, multiparameter generalizations

Cites Work

• Boundary solutions of the quantum Yang-Baxter equation and solutions in three dimensions
• Yangian double
• YANG-BAXTER ALGEBRAS, INTEGRABLE THEORIES AND QUANTUM GROUPS
• Spectral Decomposition and Baxterization of Exotic Bialgebras and Associated Noncommutative Geometries
• LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS
• Modified braid equations, Baxterizations and noncommutative spaces for the quantum groups GLq(N), SOq(N), and Spq(N)
• Canonical factorization and diagonalization of Baxterized braid matrices: Explicit constructions and applications

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