Twist of Lie algebras by 6-dimensional subalgebra

A new nonstandard deformation of all types of classical Lie algebras is constructed by means of Drinfelʹd twist based on a six-dimensional subalgebra. This is an extension of extended twists introduced by Kulish. For the algebra M3 ⋍ so(3, 2), a relation to a known nonstandard deformation is discussed.