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Correction and comment concerning “on derivations and holomorphs of nilpotent Lie algebras”

Published online by Cambridge University Press:  22 January 2016

G. Leger  and
E. Luks
G. Leger
Affiliation:
Tufts University, Bucknell University
E. Luks
Affiliation:
Tufts University, Bucknell University
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The examples on p. 44 of metabelian Lie algebras L1 and L2 are isomorphic over certain base fields contrary to the claim in the paper. More specifically, the error lies in the incorrect statement that the rank of ad x for any x in L1 is either zero or is at least 3. This statement does hold over Q, but if τ is a scalar satisfying τ2 − τ − 1 = 0 then ad (x1 + τx2 + τ2x3 + x4 + τ2x5 has rank 2.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 59 , December 1975 , pp. 217 - 218
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1975