Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-25T02:27:23.320Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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