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On the Fundamental Group of a Simple Lie Group

Published online by Cambridge University Press:  22 January 2016

Masaru Takeuchi
Masaru Takeuchi*
Affiliation:
Osaka University
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Let G be a simply connected simple Lie group and C the center of G, which is isomorphic with the fundamental group of the adjoint group of G. For an element c of C, an element x of the Lie algebra g of G is called a representative of c in g if exp x = c. Sirota-Solodovnikov [7] found a complete set of representatives of the center C in g and studied the group structure of C, and using their results Goto-Kobayashi [1] classified subgroups of the center C with respect to automorphisms of G. The group structure of C was also studied in Takeuchi [8],

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 40 , December 1970 , pp. 147 - 159
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

References

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