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On Lie groups with left-invariant symplectic or Kählerian structures

✍ Scribed by André Lichnerowicz; Alberto Medina


Publisher
Springer
Year
1988
Tongue
English
Weight
529 KB
Volume
16
Category
Article
ISSN
0377-9017

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Left-Invariant Affine Structures on Redu
✍ Dietrich Burde 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 230 KB

We describe left-invariant affine structures that is, left-invariant flat torsion-free . affine connections ٌ on reductive linear Lie groups G. They correspond bijectively to LSA-structures on the Lie algebra ᒄ of G. Here LSA stands for left-symmetric algebra. If ᒄ has trivial or one-dimensional cen