The Moduli Space of Six-Dimensional Two-Step Nilpotent Lie Algebras
Date
2005ISSN
0232-704XSource
Annals of Global Analysis and GeometryVolume
27Issue
1Pages
17-32Google Scholar check
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We determine the moduli space of metric two-step nilpotent Lie algebras of dimension up to 6. This space is homeomorphic to a cone over a four-dimensional contractible simplicial complex. Moreover, we exhibit standard metric representatives of the seven isomorphism types of six-dimensional two-step nilpotent Lie algebras within our picture. © Springer Science + Business Media, Inc. 2005.