The Bianchi variety

G. Moreno

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arXiv · 1005.5355

The Bianchi variety

G. Moreno

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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.

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BibTeX RIS

G. Moreno. 2010-06-08. The Bianchi variety. https://arxiv.org/abs/1005.5355

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