Generalized Jordanian R-matrices of Cremmer-Gervais type

Citation
R. Endelman et Tj. Hodges, Generalized Jordanian R-matrices of Cremmer-Gervais type, LETT MATH P, 52(3), 2000, pp. 225-237
Citations number
18
Categorie Soggetti
Physics
Journal title
LETTERS IN MATHEMATICAL PHYSICS
ISSN journal
03779017 → ACNP
Volume
52
Issue
3
Year of publication
2000
Pages
225 - 237
Database
ISI
SICI code
0377-9017(200005)52:3<225:GJROCT>2.0.ZU;2-3
Abstract
An explicit quantization is given of certain skew-symmetric solutions of th e classical Yang-Baxter equation, yielding a family of R-matrices which gen eralize to higher dimensions the Jordanian R-matrices. Three different appr oaches to their construction are given: as twists of degenerations of the S hibukawa-Ueno, Yang-Baxter operators on meromorphic functions; as boundary solutions of the quantum Yang-Baxter equation; via a vertex-IRF transformat ion from solutions to the dynamical Yang-Baxter equation.