A family of degenerate Lie algebras

Authors
Cruz, I
Citation
I. Cruz, A family of degenerate Lie algebras, J GEOM PHYS, 31(1), 1999, pp. 51-63
Citations number
7
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF GEOMETRY AND PHYSICS
ISSN journal
03930440 → ACNP
Volume
31
Issue
1
Year of publication
1999
Pages
51 - 63
Database
ISI
SICI code
0393-0440(199908)31:1<51:AFODLA>2.0.ZU;2-N
Abstract
We show that almost all the real Lie algebras with only zero- and two-dimen sional coadjoint orbits are degenerate in both the smooth and analytic cate gory. The only exceptions are the already known cases (studied for example by Dufour and Weinstein). (C) 1999 Elsevier Science B.V. All rights reserve d.