Some prehomogeneous representations defined by cubic forms
نویسندگان
چکیده
منابع مشابه
Prehomogeneous Vector Space Defined by a Semisimple Algebraic Group
The purpose of this department is to provide early announcement of outstanding new results, with some indication of proof. Research announcements are limited to 100 typed lines of 65 spaces each. A limited number of research announcements may be communicated by each member of the Council who is also a member of a Society editorial committee. Manuscripts for research announcements should be sent...
متن کاملOn Parameterizations of Rational Orbits of Some Forms of Prehomogeneous Vector Spaces
In this paper, we consider the structure of rational orbit of some prehomogeneous vector spaces originally motivated by Wright and Yukie. After we give a refinement of WrightYukie’s construction, we apply it to the inner forms of the D5 and E7 types. Parameterizations of reducible algebras for the cubic cases are included.
متن کاملSome Extreme Forms Defined in Terms of Abelian Groups
On the other hand, no one has yet constructed a sequence of forms for which yn{f) is unbounded, let alone of order n, as n -> oo. We have therefore thought it worthwhile to describe, in some detail, a new class of extreme forms yielding values yn{f) of order n% for suitable large n. More specifically, corresponding to each N = 2 (n = 2, 3, . . .) and to each sequence of integers Ao, Xv . . ., X...
متن کاملPrehomogeneous Affine Representations and Flat Pseudo-Riemannian Manifolds
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 application...
متن کاملRepresentations of Integers by Ternary Quadratic Forms
We investigate the representation of integers by quadratic forms whose theta series lie in Kohnen’s plus space M 3/2(4p), where p is a prime. Conditional upon certain GRH hypotheses, we show effectively that every sufficiently large discriminant with bounded divisibility by p is represented by the form, up to local conditions. We give an algorithm for explicitly calculating the bounds. For smal...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1998
ISSN: 0040-8735
DOI: 10.2748/tmj/1178224935