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Subinvariance in Solvable Lie Algebras

Published online by Cambridge University Press:  20 November 2018

Chong-Yun Chao  and
Ernest L. Stitzinger
Chong-Yun Chao
Affiliation:
University of Pittsburgh, Pittsburgh, Pennsylvania
Ernest L. Stitzinger
Affiliation:
University of Pittsburgh, Pittsburgh, Pennsylvania
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In a recent paper, Wielandt has continued his investigation of subnormal subgroups. Since the analogous concept is also of interest in Lie algebras, this note considers the Lie algebra counterparts to Wielandt's results. Generally the results do not carry over to all Lie algebras, but do hold in the solvable case. In order to state the main results, several definitions are needed and consequently we begin by listing some of the consequences. All Lie algebras considered here are finite dimensional over a field.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 1 , 01 February 1976 , pp. 181 - 185
Copyright
Copyright © Canadian Mathematical Society 1976

References

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