TWIST DEFORMATION OF THE RANK-ONE LIE SUPERALGEBRA

Authors
CELEGHINI E KULISH PP
Citation
E. Celeghini et Pp. Kulish, TWIST DEFORMATION OF THE RANK-ONE LIE SUPERALGEBRA, Journal of physics. A, mathematical and general, 31(4), 1998, pp. 79-84
Citations number
16
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
4
Year of publication
1998
Pages
79 - 84
Database
ISI
SICI code
0305-4470(1998)31:4<79:TDOTRL>2.0.ZU;2-1
Abstract
The Drinfeld twist is applied to deform the rank-one orthosymplectic L ie superalgebra osp(1\2). The twist element is the same as for the sl( 2) Lie algebra due to the embedding of the sl(2) into the superalgebra osp(1\2). The R-matrix has the direct sum structure in the irreducibl e representations of osp(1\2). The dual quantum group is defined using the FRT-formalism. It includes the Jordanian quantum group SLxi(2) as subalgebra and Grassmann generators as well.