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A wild automorphism of Usl(2)

Published online by Cambridge University Press:  24 October 2008

A. Joseph
A. Joseph
Affiliation:
University of Tel-Aviv, Israel
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Abstract

It is known that the automorphism groups of various torsion-free associative algebras over two generators take a particularly simple form. It has been suggested (10), though never proved, that this fails over three or more generators. Here it is shown that this is indeed the case for the enveloping algebra of sl(2), a result which answers a question implicitly raised in (4). A weaker hypothesis is proposed for such automorphism groups and this is related to the structure of locally nilpotent derivations.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 80 , Issue 1 , July 1976 , pp. 61 - 65
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

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