A class of nilpotent Lie algebras admitting a compact subgroup of automorphisms

Giovanni Falcone, Biggs, R.

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The realification of the (2n+1)-dimensional complex Heisenberg Lie algebra is a (4n+2)-dimensional real nilpotent Lie algebra with a 2-dimensional commutator ideal coinciding with the centre, and admitting the compact algebra sp(n) of derivations. We investigate, in general, whether a real nilpotent Lie algebra with 2-dimensional commutator ideal coinciding with the centre admits a compact Lie algebra of derivations. This also gives us the occasion to revisit a series of classic results, with the expressed aim of attracting the interest of a broader audience.
Original languageEnglish
Pages (from-to)-
Number of pages13
JournalDIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
Publication statusPublished - 2017

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