Multiplication on spheres. I
نویسندگان
چکیده
منابع مشابه
Multiplication on Spheres (i)
Multiplications exist if n = l, 3, or 7, as follows. In case « = 1, a 1-sphere is formed by the ordinary complex numbers of unit modulus, which have a commutative multiplication. Bott1 [2] has proved that S" does not admit a commutative multiplication if n> 1. A 3-sphere is formed by the quaternions of unit modulus, which have a noncommutative multiplication. H. Samelson [7] and G. Whitehead [1...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1957
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1957-0083726-6