Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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D. Conti - Viviana del Barco - F. A. Rossi

Ad-invariant metrics on nonnice nilpotent Lie algebras

created by rossi on 23 Nov 2021



Inserted: 23 nov 2021
Last Updated: 23 nov 2021

Year: 2021

ArXiv: 2111.11274 PDF


We proved in previous work that all real nilpotent Lie algebras of dimension up to $10$ carrying an ad-invariant metric are nice. In this paper we show by constructing explicit examples that nonnice irreducible nilpotent Lie algebras admitting an ad-invariant metric exist for every dimension greater than $10$ and every nilpotency step greater than $2$.

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