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arXiv · 1803.09248

Construction of nice nilpotent Lie groups

Diego Conti·Federico A. Rossi
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Abstract

We illustrate an algorithm to classify nice nilpotent Lie algebras of dimension $n$ up to a suitable notion of equivalence; applying the algorithm, we obtain complete listings for $n\leq9$. On every nilpotent Lie algebra of dimension $\leq 7$, we determine the number of inequivalent nice bases, which can be $0$, $1$, or $2$. We show that any nilpotent Lie algebra of dimension $n$ has at most countably many inequivalent nice bases.

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Diego Conti, Federico A. Rossi. 2018-03-25. Construction of nice nilpotent Lie groups. https://doi.org/10.1016/j.jalgebra.2019.01.020

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