Journal of Lie Theory 23 (2013), No. 4, 1051--1074
Copyright Heldermann Verlag 2013
Totally Geodesic Subalgebras of Filiform Nilpotent Lie Algebras
Grant Cairns
Department of Mathematics and Statistics, La Trobe University, Melbourne 3086, Australia
G.Cairns@latrobe.edu.au
Ana Hinic Galic
Department of Mathematics and Statistics, La Trobe University, Melbourne 3086, Australia
A.HinicGalic@latrobe.edu.au
Yuri Nikolayevsky
Department of Mathematics and Statistics, La Trobe University, Melbourne 3086, Australia
Y.Nikolayevsky@latrobe.edu.au
We determine the maximal dimension of totally geodesic subalgebras of N-graded filiform Lie algebras, and we show that these bounds are attained.
Keywords: Lie algebra, nilpotent, filiform, totally geodesic foliation.
MSC: 57R30, 22E25, 53C30
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