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On the tensor system of a semisimple Lie algebra

Published online by Cambridge University Press:  24 October 2008

Timothy Murphy
Timothy Murphy
Affiliation:
University of Essex
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Abstract

From the tensorial point of view, the essential characteristic of a semisimple lie algebra A is the non-singularity of the Killing form, since this enables one to construct a system of Cartesian tensors over A. That system is the subject of this paper.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 2 , March 1972 , pp. 211 - 226
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

REFERENCES

(1)Bourbaki, N.Groupes et algèbras de Lie, Ch. I (Hermann; Paris, 1960).Google Scholar
(2)Chevalley, Claude. Théorie des groupes de Lie (Hermann; Paris, 1955).Google Scholar
(3)Murphy, Timothy. In negative dimensions (to appear).Google Scholar
(4)Penrose, Roger. Applications of negative dimensional tensors, in Combinatorial mathematics, ed. Welsh, J. (Academic Press: to appear.)Google Scholar