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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, [email protected]
Fei Xu
Affiliation:
Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, People's Republic of [email protected]
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Abstract

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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