Construction of nice nilpotent Lie groups
Abstract
We illustrate an algorithm to classify nice nilpotent Lie algebras of dimension up to a suitable notion of equivalence; applying the algorithm, we obtain complete listings for . On every nilpotent Lie algebra of dimension , we determine the number of inequivalent nice bases, which can be , , or . We show that any nilpotent Lie algebra of dimension has at most countably many inequivalent nice bases.
Cite
@article{arxiv.1803.09248,
title = {Construction of nice nilpotent Lie groups},
author = {Diego Conti and Federico A. Rossi},
journal= {arXiv preprint arXiv:1803.09248},
year = {2019}
}
Comments
v3: Condition (N3) has been changed to exclude diagrams with arrows with the same label as the starting node, this will not affect the rest of the paper or the results, since this condition was implicitly assumed through the paper. Added a final remark 3.9. Presentation improved and bibliography updated. Article 28 Pages; Tables in ancillary file 137 pages