Higher dimensional multiparameter unitary and nonunitary braid matrices: Even dimensions

DOI10.1063/1.2793571zbMath1152.81302arXiv0706.2787OpenAlexW1969192825MaRDI QIDQ3544484

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

Publication date: 8 December 2008

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

Full work available at URL: https://arxiv.org/abs/0706.2787

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Groups and algebras in quantum theory and relations with integrable systems (81R12) Quantum measurement theory, state operations, state preparations (81P15)

Related Items (3)

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 \(N\) ⋮ A new eight vertex model and higher dimensional, multiparameter generalizations

Cites Work

• A nested sequence of projectors and corresponding braid matrices R̂(θ). 1. Odd dimensions
• Nested sequence of projectors. II. Multiparameter multistate statistical models, Hamiltonians, S-matrices
• YANG-BAXTER ALGEBRAS, INTEGRABLE THEORIES AND QUANTUM GROUPS
• Higher dimensional unitary braid matrices: Construction, associated structures, and entanglements
• Canonical factorization and diagonalization of Baxterized braid matrices: Explicit constructions and applications

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