BooksirmaCollected Volumepp. 731–817

Prehomogeneous affine representations and flat pseudo-Riemannian manifolds

  • Oliver Baues

    Georg-August Universität Göttingen, Germany
Prehomogeneous affine representations and flat pseudo-Riemannian manifolds cover
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Abstract

The theory of flat pseudo-Riemannian manifolds and flat affine manifolds is closely connected to the topic of prehomogeneous affine representations of Lie groups. In this article, we exhibit several aspects of this correspondence. At the heart of our presentation is a development of the theory of characteristic classes and characters of prehomogeneous affine representations. We give applications concerning flat affine, as well as pseudo-Riemannian and symplectic affine flat manifolds.