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Low dimensional Lie groups admitting left invariant flat projective or affine structures

Published 13 Jun 2014 in math.DG and math.RT | (1406.3424v1)

Abstract: We prove that any real Lie group of dimension \leq 5 admits a left invariant flat projective structure. We also prove that a real Lie group L of dimension \leq 5 admits a left invariant flat affine structure if and only if the Lie algebra of L is not perfect.

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