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May 2014 On some Hasse principles for algebraic groups over global fields
Ngô Thi Ngoan, Nguyêñ Quôć Thǎńg
Proc. Japan Acad. Ser. A Math. Sci. 90(5): 73-78 (May 2014). DOI: 10.3792/pjaa.90.73

Abstract

We consider certain local-global principles related with some splitting problems for connected linear algebraic groups over global fields. The main tools are certain reciprocity results due to Prasad and Rapinchuk, Harder’s Hasse principle for homogeneous projective spaces of reductive groups for number fields and their extensions to global function fields.

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Ngô Thi Ngoan. Nguyêñ Quôć Thǎńg. "On some Hasse principles for algebraic groups over global fields." Proc. Japan Acad. Ser. A Math. Sci. 90 (5) 73 - 78, May 2014. https://doi.org/10.3792/pjaa.90.73

Information

Published: May 2014
First available in Project Euclid: 1 May 2014

zbMATH: 1300.11032
MathSciNet: MR3201838
Digital Object Identifier: 10.3792/pjaa.90.73

Subjects:
Primary: 11E72, 14F20, 14L15
Secondary: 14G20, 20G10

Rights: Copyright © 2014 The Japan Academy

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Vol.90 • No. 5 • May 2014
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