1999/01/01 by Z. Maassarani
Chemistry · Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Fusion #Generalization #Hamiltonian (control theory) #Integrable system #Mathematical analysis #Mathematical physics #Mathematics #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #Philosophy #Physics #Pure mathematics #Quantum #Quantum mechanics #Spin (aerodynamics) #Theoretical physics #cond-mat #math-ph #math.MP #nlin.SI #solv-int
paper · pdf · doi:10.1088/0305-4470/32/27/310
published as J.Phys.A32:5123-5132,1999 · 11 pages, Latex. v2: statement concerning symmetries qualified, 3 minor misprints corrected. J. Phys. A (1999) in press
openalex publication_date 1999/01/01 · arxiv created 1999/05/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Integrable multistate or multiflavour/colour models were recently introduced. They are generalizations of models corresponding to the defining representations of the quantum algebras. Here I show that a similar generalization is possible for all higher-dimensional representations. The R -matrices and the Hamiltonians of these models are constructed by fusion. The sl (2) case is treated in some detail and the spin-0 and spin-1 matrices are obtained in explicit forms. This provides in particular a generalization of the Fateev-Zamolodchikov Hamiltonian.