No CrossRef data available.
Article contents
On the group of automorphisms of a Hopf map
Published online by Cambridge University Press: 22 January 2016
Extract
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.
Let K be an infinite field of characteristic not 2. Let qx, qY be nonsingular quadratic forms on vector spaces X, Y over K, respectively. Assume that there is a bilinear map B:X × Y → Y such that qY(B(x, y)) = qx(x)qY(y). To each such triple {qx, qY, B} one associates the Hopf map h: Z = X × Y → W = K × Y by h(z) = (qx(x) – qY(y), 2B(x, y)), z = (x, y).
- Type
- Research Article
- Information
- Copyright
- Copyright © Editorial Board of Nagoya Mathematical Journal 1980
References
[ 1 ]
Schafer, R., An introduction to nonassociative algebras, Academic Press, New York, 1966.Google Scholar
[ 2 ]
Serre, J.-P., Cohomologie galoisienne, Lecture Notes in Mathematics, Springer-Verlag, 1964.Google Scholar
[ 3 ]
Kneser, M., Lectures on Galois cohomology of classical groups, Tata Institute, Bombay, 1969.Google Scholar
[ 4 ]
Ono, T., On the Tamagawa number of algebraic tori, Ann. of Math. 78 (1963), 47–73.CrossRefGoogle Scholar
You have
Access