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A characterization theorem for realizations of sl(2)

Published online by Cambridge University Press:  24 October 2008

A. Joseph
A. Joseph
Affiliation:
Department of Physics and Astronomy, Tel-Aviv University, Ramat Aviv, Israel
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Abstract

Let A1 denote the algebra generated by one pair of canonical operators. It is shown that the realizations of sl(2) in A1 divide into two non-empty classes determined by the spectrum of the semisimple element of sl(2) in A1.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 75 , Issue 2 , March 1974 , pp. 119 - 131
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

REFERENCES

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