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arXiv · 1207.1323

Double automorphisms of graded Lie algebras

Cristina Acciarri·Pavel Shumyatsky
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Abstract

We introduce the concept of a double automorphism of an A-graded Lie algebra L. Roughly, this is an automorphism of L which also induces an automorphism of the group A. It is clear that the set of all double automorphisms of L forms a subgroup in Aut(L). In the present paper we prove several nilpotency criteria for a graded Lie algebra admitting a finite group of double automorphisms. We also give an application of our results to groups admitting a Frobenius group of automorphisms.

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Cristina Acciarri, Pavel Shumyatsky. 2012-07-05. Double automorphisms of graded Lie algebras. https://arxiv.org/abs/1207.1323

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