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arxiv: math/0105023 · v3 · submitted 2001-05-03 · 🧮 math.RA · math.DG

Affine Structures on abelian Lie Groups

classification 🧮 math.RA math.DG
keywords structuresabelianaffinecompletedimensionsalgebrascaseclassify
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The complete affine structures on abelian Lie algebras in small dimensions are well known. In this paper we are interested by the non complete case. In particular we classify all these structures in dimensions 2 and 3.

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