preprint
Inserted: 15 sep 2020
Last Updated: 15 sep 2020
Year: 2010
Abstract:
The totality Lie(V) of all Lie algebra structures on a vector space V over a field F is an algebraic variety over F on which the group GL(V) acts naturally. We give an explicit description of Lie(V) for dim V=3 which is based on the notion of compatibility of Lie algebra structures.