On the Non-Commutativity of Pontrjagin Rings Mod 3 of Some Compact Exceptional Groups
- 1 August 1960
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 17, 225-260
- https://doi.org/10.1017/s0027763000002166
Abstract
Pontrjagin rings over the field of rational numbers of compact Lie groups are commutative in the sense of graded algebras (or anti-commutative in the classical terminology) [14]. Pontrjagin rings over the field Zp (p 0) of several compact simple Lie groups were studied by Borel [5]. The most examples are commutative. However, this is generally not true.Keywords
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