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On a Theorem of D. W. Barnes

Published online by Cambridge University Press:  20 November 2018

Ernest L. Stitzinger
Ernest L. Stitzinger*
Affiliation:
North Carolina State University, Raleigh, North Carolina
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Let L be a solvable Lie algebra and A be an abelian ideal of L. For a ∊ A, let da be the (right) inner derivation of L generated by a and let exp da = 1 + da. Since A is abelian, exp da is an automorphism and exp da exp db = exp da+b for all a, b ∊ A. Let I(L, A) be the subgroup of the automorphism group of L generated by exp da for all a ∊ A.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 4 , December 1971 , pp. 583 - 584
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Barnes, D. W., On the cohomology of solvable Lie algebras, Math. Z. 101 (1967), 343-349.Google Scholar