Hostname: page-component-76fb5796d-vfjqv Total loading time: 0 Render date: 2024-04-25T14:14:33.724Z Has data issue: false hasContentIssue false
  • English
  • Français

On representations of spinor genera

Published online by Cambridge University Press:  04 December 2007

Wai Kiu Chan  and
Fei Xu
Wai Kiu Chan
Affiliation:
Department of Mathematics, Wesleyan University, Middletown, CT 06459, USAwkchan@wesleyan.edu
Fei Xu
Affiliation:
Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, People's Republic of Chinaxufei@math.ac.cn
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We determine exactly when a quadratic form is represented by a spinor genus of another quadratic form of three or four variables. We apply this to extend the embedding theorem for quaternion and also answer a question by Borovoi.

Keywords

spinor generarepresentation massHardy–Littlewood varieties11Exx (primary)11Fxx11Gxx (secondary)
Type
Research Article
Information
Compositio Mathematica , Volume 140 , Issue 2 , March 2004 , pp. 287 - 300
Copyright
Foundation Compositio Mathematica 2004