The Bianchi variety

Details The Bianchi variety The Bianchi variety

2010-05-28

arxiv.org/abs/1005.5355v2

Mathematics

Differential Geometry

26 pages, 8 figures, to appear on Diff. Geom. Appl

Scientific paper

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.

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