Twist of Lie algebras by 6-dimensional subalgebra

Authors
Aizawa, N
Citation
N. Aizawa, Twist of Lie algebras by 6-dimensional subalgebra, REP MATH PH, 48(1-2), 2001, pp. 11-18
Citations number
18
Categorie Soggetti
Physics
Journal title
REPORTS ON MATHEMATICAL PHYSICS
ISSN journal
00344877 → ACNP
Volume
48
Issue
1-2
Year of publication
2001
Pages
11 - 18
Database
ISI
SICI code
0034-4877(200108/10)48:1-2<11:TOLAB6>2.0.ZU;2-7
Abstract
A new nonstandard deformation of all types of classical Lie algebras is con structed by means of Drinfel'd twist based on a six-dimensional subalgebra. This is an extension of extended twists introduced by Kulish et al. For th e algebra M-3 similar or equal to so(3,2), a relation to a known nonstandar d deformation is discussed.