Prehomogeneous vector spaces and ergodic theory II

Akihiko Yukie; Roger Zierau; Dave Witte

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arXiv · math/9607218

Prehomogeneous vector spaces and ergodic theory II

Akihiko Yukie·Roger Zierau·Dave Witte

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Abstract

We apply M. Ratner's theorem on closures of unipotent orbits to the study of three families of prehomogeneous vector spaces. As a result, we prove analogues of the Oppenheim Conjecture for simultaneous approximation by values of certain alternating bilinear forms in an even number of variables and certain alternating trilinear forms in six and seven variables.

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BibTeX RIS

Akihiko Yukie, Roger Zierau, Dave Witte. 1996-07-01. Prehomogeneous vector spaces and ergodic theory II. https://arxiv.org/abs/math/9607218

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