Higher dimensional unitary braid matrices: Construction, associated structures, and entanglements

DOI10.1063/1.2737266zbMath1144.81301arXivmath/0702188OpenAlexW3105629094MaRDI QIDQ3529743

Stephen G. Mihov, B. Abdesselam, Vladimir K. Dobrev, Amithaba Chakrabarti

Publication date: 14 October 2008

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

Full work available at URL: https://arxiv.org/abs/math/0702188

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Groups and algebras in quantum theory and relations with integrable systems (81R12) (S)-matrix theory, etc. in quantum theory (81U20) Quantum coherence, entanglement, quantum correlations (81P40) Special matrices (15B99)

Related Items (4)

Yang-Baxter \({\breve R}\) matrix, entanglement and Yangian ⋮ 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 ⋮ A new eight vertex model and higher dimensional, multiparameter generalizations

Cites Work

• Unnamed Item
• Exotic bialgebra \(S03\): representations, Baxterisation and applications.
• The Yang-Baxter equation and invariants of links
• On combined standard–nonstandard or hybrid (q,h)-deformations
• 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
• 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
• YANG-BAXTER ALGEBRAS, INTEGRABLE THEORIES AND QUANTUM GROUPS
• Yang-Baxter matrices and differential calculi on quantum hyperplanes
• Spectral Decomposition and Baxterization of Exotic Bialgebras and Associated Noncommutative Geometries
• Duality and representations for new exotic bialgebras
• UNIVERSAL QUANTUM GATE, YANG–BAXTERIZATION AND HAMILTONIAN
• EXTRASPECIAL 2-GROUPS AND IMAGES OF BRAID GROUP REPRESENTATIONS
• Geometrical tools for quantum Euclidean spaces
• Quantum groups and non-Abelian braiding in quantum Hall systems

This page was built for publication: Higher dimensional unitary braid matrices: Construction, associated structures, and entanglements