Geodesic
Totally Geodesic Subalgebras of Filiform Nilpotent Lie Algebras
Grant Cairns1 ; Ana Hinic Galic1 ; Yuri Nikolayevsky1
1Department of Mathematics and Statistics, La Trobe University, Melbourne 3086, Australia
Journal of Lie Theory, Tome 23 (2013) no. 4, pp. 1051-1074

Voir la notice de l'article provenant de la source Heldermann Verlag

We determine the maximal dimension of totally geodesic subalgebras of N-graded filiform Lie algebras, and we show that these bounds are attained.
Classification : 57R30, 22E25, 53C30
Mots-clés : Lie algebra, nilpotent, filiform, totally geodesic foliation

Grant Cairns  1   ; Ana Hinic Galic  1   ; Yuri Nikolayevsky  1

1 Department of Mathematics and Statistics, La Trobe University, Melbourne 3086, Australia 
Grant Cairns; Ana Hinic Galic; Yuri Nikolayevsky. Totally Geodesic Subalgebras of Filiform Nilpotent Lie Algebras. Journal of Lie Theory, Tome 23 (2013) no. 4, pp. 1051-1074. http://geodesic.mathdoc.fr/item/JOLT_2013_23_4_a8/
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     author = {Grant Cairns and Ana Hinic Galic and Yuri Nikolayevsky},
     title = {Totally {Geodesic} {Subalgebras} of {Filiform} {Nilpotent} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {1051--1074},
     year = {2013},
     volume = {23},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2013_23_4_a8/}
}
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