Geodesic
A Different Perspective on H-like Lie Algebras
Journal of Lie theory, Tome 30 (2020) no. 4, pp. 981-996
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We characterize H-like Lie algebras in terms of subspaces of cones over conjugacy classes in Rq, translating the classification problem for H-like Lie algebras to an equivalent problem in linear algebra. We study properties of H-like Lie algebras, present new methods for constructing them, including tensor products and central sums, and we classify H-like Lie algebras whose associated JZ-maps have real rank two for all nonzero Z.
Classification : 53C30, 22E25
Mots-clés : nilmanifold, H-type, H-like, Heisenberg type, Heisenberg algebra 
@article{JLT_2020_30_4_JLT_2020_30_4_a4,
     author = {C. Kriloff and T. Payne},
     title = {A {Different} {Perspective} on {H-like} {Lie} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {981--996},
     year = {2020},
     volume = {30},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2020_30_4_JLT_2020_30_4_a4/}
}
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C. Kriloff; T. Payne. A Different Perspective on H-like Lie Algebras. Journal of Lie theory, Tome 30 (2020) no. 4, pp. 981-996. http://geodesic.mathdoc.fr/item/JLT_2020_30_4_JLT_2020_30_4_a4/