On some classes of bases in finite-dimensional Lie algebras

Abstract: Lie algebras having bases of a special form (nice and beautiful bases) are considered. For nice bases, it is proved that in any nilpotent Lie algebra their number (up to equivalence) is finite. For some Lie algebras of low dimension, it is shown that, when passing from a complex Lie algebra to its realification, the property to have a beautiful basis is lost. Also nilpotent Lie algebras of dimensions less than 8 are considered.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar