Journal of Lie Theory

no. 4
Totally Geodesic Subalgebras of Filiform Nilpotent Lie Algebras
Journal of Lie Theory, Volume 23 (2013) no. 4, pp. 1051-1074
We determine the maximal dimension of totally geodesic subalgebras of N-graded filiform Lie algebras, and we show that these bounds are attained.
DOI: 10.5802/jolt.764
Classification: 57R30, 22E25, 53C30
Keywords: Lie algebra, nilpotent, filiform, totally geodesic foliation 
@article{JOLT_2013_23_4_a8,
     author = {G. Cairns and A. Hinic Galic and Y. Nikolayevsky},
     title = {Totally {Geodesic} {Subalgebras} of {Filiform} {Nilpotent} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {1051--1074},
     year = {2013},
     volume = {23},
     number = {4},
     doi = {10.5802/jolt.764},
     zbl = {1290.17009},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.764/}
}
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%A A. Hinic Galic
%A Y. Nikolayevsky
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%J Journal of Lie Theory
%D 2013
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G. Cairns; A. Hinic Galic; Y. Nikolayevsky. Totally Geodesic Subalgebras of Filiform Nilpotent Lie Algebras. Journal of Lie Theory, Volume 23 (2013) no. 4, pp. 1051-1074. doi: 10.5802/jolt.764

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