Prehomogeneous vector spaces and ergodic theory. I

DOI10.1215/S0012-7094-97-09005-0zbMath0896.11013arXivmath/9605219MaRDI QIDQ1387862

Akihiko Yukie

Publication date: 28 July 1998

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9605219

zbMATH Keywords

prehomogeneous vector spacessemisimple Lie algebrasergodic theoryOppenheim conjecturedense set of valuesirrational quadratic form

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Quadratic forms over general fields (11E04) Entropy and other invariants (28D20) Prehomogeneous vector spaces (11S90) Simple, semisimple, reductive (super)algebras (17B20) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (4)

On the density of S-adic integers near some projective G-varieties ⋮ Prehomogeneous vector spaces and field extensions. III ⋮ Prehomogeneous vector spaces and ergodic theory. III ⋮ Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces

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