NEW SOLUTIONS OF THE YANG-BAXTER EQUATION BASED ON ROOT OF 1 REPRESENTATIONS OF THE PARA-BOSE SUPERALGEBRA U-Q[OSP(1 2)]/

Authors
PALEV TD STOILOVA NI
Citation
Td. Palev et Ni. Stoilova, NEW SOLUTIONS OF THE YANG-BAXTER EQUATION BASED ON ROOT OF 1 REPRESENTATIONS OF THE PARA-BOSE SUPERALGEBRA U-Q[OSP(1 2)]/, Journal of physics. A, mathematical and general, 29(3), 1996, pp. 709-719
Citations number
44
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
29
Issue
3
Year of publication
1996
Pages
709 - 719
Database
ISI
SICI code
0305-4470(1996)29:3<709:NSOTYE>2.0.ZU;2-S
Abstract
New solutions of the quantum Yang-Baxter equation, depending in genera l on three arbitrary parameters, are written down. They are based on t he root of unity representations of the quantum orthosymplectic supera lgebra U-q[osp(1/2)], which were found recently. Representations of th e braid group B-N are defined within any Nth tensorial power of root-o f-1 U-q[osp(1/2)] modules.