Published Paper
Inserted: 23 nov 2021
Last Updated: 18 may 2025
Journal: Journal of Algebra and Its Applications
Year: 2025
Doi: 10.1142/S0219498825502329
Abstract:
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 $2$.
Tags:
PRIN2022-GSFT