Twisted Quantum Deformations of Lorentz and Poincar\'{e} algebras
Quantum Algebra
2008-01-05 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Representation Theory
Abstract
We discussed twisted quantum deformations of D=4 Lorentz and Poincare algebras. In the case of Poincare algebra it is shown that almost all classical r-matrices of S.Zakrzewski classification can be presented as a sum of subordinated r-matrices of Abelian and Jordanian types. Corresponding twists describing quantum deformations are obtained in explicit form. This work is an extended version of the paper \url{arXiv:0704.0081v1 [math.QA]}.
Cite
@article{arxiv.0712.3962,
title = {Twisted Quantum Deformations of Lorentz and Poincar\'{e} algebras},
author = {V. N. Tolstoy},
journal= {arXiv preprint arXiv:0712.3962},
year = {2008}
}
Comments
18 pages. Invited talk at the VII International Workshop ''Lie Theory and its Applications in Physics'',18--24 June 2007, Varna, Bulgaria