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On the ‘strange formula’ of Freudenthal and de Vries

Published online by Cambridge University Press:  24 October 2008

H. D. Fegan  and
B. Steer
H. D. Fegan
Affiliation:
Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131
B. Steer
Affiliation:
Hertford College, Oxford 0X1 3BW
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Extract

Suppose that G is a semi-simple, compact, connected Lie group. Endow g, its Lie algebra, with the inner product which is the negative of the Killing form. Choose a fundamental Weyl Chamber and let R+ denote the positive roots so determined.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 105 , Issue 2 , March 1989 , pp. 249 - 252
Copyright
Copyright © Cambridge Philosophical Society 1989

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References

REFERENCES

[1]Fegan, H. D.. The heat equation on a compact Lie group. Trans. Amer. Math. Soc. 246 (1978), 339–357.CrossRefGoogle Scholar
[2]Freudenthal, H. and de Vries, H.. Linear Lie Groups (Academic Press, 1969).Google Scholar
[3]Parthasarathy, R.. The Dirac operator and the discrete series. Ann. of Math. (2) 96 (1972), 1–30.CrossRefGoogle Scholar