ON THE CONSTRUCTION OF TRIGONOMETRIC SOLUTIONS OF THE YANG-BAXTER EQUATION

Authors
DELIUS GW GOULD MD ZHANG YZ
Citation
Gw. Delius et al., ON THE CONSTRUCTION OF TRIGONOMETRIC SOLUTIONS OF THE YANG-BAXTER EQUATION, Nuclear physics. B, 432(1-2), 1994, pp. 377-403
Citations number
51
Categorie Soggetti
Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Volume
432
Issue
1-2
Year of publication
1994
Pages
377 - 403
Database
ISI
SICI code
0550-3213(1994)432:1-2<377:OTCOTS>2.0.ZU;2-1
Abstract
We describe the construction of trigonometric R-matrices corresponding to the (multiplicity-free) tenser product of two irreducible represen tations of a quantum algebra U-q(G). Our method is a generalization of the tenser product graph method to the case of two different represen tations. It yields the decomposition of the R-matrix into projection o perators. Many new examples of trigonometric R-matrices (solutions to the spectral parameter dependent Yang-Baxter equation) are constructed using this approach.