Twist of Lie algebras by 6-dimensional subalgebra (Q696307)

The author obtains new nonstandard deformations of all types of the classical Lie algebras using Drinfeld's twist based on a 6-dimensional subalgebra. This deformation can be regarded as an extension of the nonstandard quantum algebras introduced by \textit{P. P. Kulish, V. D. Lyakhovsky} and \textit{A. I. Mudrov} in [J. Math. Phys. 40, 4569--4586 (1999; Zbl 0964.81041)]. The author also discusses some applications of his results to, in particular, conformal algebras of \((2+1)\)-dimensional space-time.