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On the Non-Commutativity of Pontrjagin Rings Mod 3 of Some Compact Exceptional Groups

Published online by Cambridge University Press:  22 January 2016

Shôrô Araki
Shôrô Araki*
Affiliation:
The Institute for Advanced Study and Kyusyu University, Japan
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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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 17 , August 1960 , pp. 225 - 260
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1960

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