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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A mean value formula for the spin group


Author: Lawrence Verner
Journal: Proc. Amer. Math. Soc. 50 (1975), 68-72
MSC: Primary 10C30; Secondary 12A85
DOI: https://doi.org/10.1090/S0002-9939-1975-0382168-4
MathSciNet review: 0382168
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Abstract: An adelic mean value formula is proved for two-connected algebraic homogeneous spaces, generalizing Siegel's formula in the geometry of numbers. The case of the spin group acting on the generalized sphere furnishes an example. The procedure consists in applying Galois cohomological techniques to the method of Ono.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0382168-4
Keywords: Homogeneous space, quadratic form, algebraic group, Tamagawa number
Article copyright: © Copyright 1975 American Mathematical Society