Canonical factorization and diagonalization of Baxterized braid matrices: Explicit constructions and applications

DOI10.1063/1.1613378zbMath1063.17012arXivmath/0305103OpenAlexW3100781173MaRDI QIDQ4833183

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Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/math/0305103

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items (8)

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 multiparameter unitary and nonunitary braid matrices: Even dimensions ⋮ New classes of spin chains from $(S\widehat{O}_{(q)}(N)$(SÔ(q)(N), $S\widehat{p }_{(q)}(N))$Sp̂(q)(N)) Temperley-Lieb algebras: Data transmission and (q, N) parametrized entanglement entropies ⋮ A new eight vertex model and higher dimensional, multiparameter generalizations ⋮ A nested sequence of projectors and corresponding braid matrices R̂(θ). 1. Odd dimensions ⋮ Aspects of a new class of braid matrices: Roots of unity and hyperelliptic q for triangularity, L-algebra, link-invariants, noncommutative spaces

Cites Work

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• Spin-spin correlation functions of the \(XXZ-1/2\) Heisenberg chain in a magnetic field
• Quasi-Hopf deformations of quantum groups
• Form factors of the \(XXZ\) Heisenberg spin-\(\frac 12\) finite chain
• Quasi-Hopf twistors for elliptic quantum groups
• Duality for exotic bialgebras
• YANG-BAXTER ALGEBRAS, INTEGRABLE THEORIES AND QUANTUM GROUPS
• Solving the two-dimensional constant quantum Yang–Baxter equation
• Spectral Decomposition and Baxterization of Exotic Bialgebras and Associated Noncommutative Geometries
• Jordanian quantum algebra 𝒰_h(sl(N)) via contraction method and mapping
• Modified braid equations for SOq(3) and noncommutative spaces
• Modified braid equations, Baxterizations and noncommutative spaces for the quantum groups GLq(N), SOq(N), and Spq(N)

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