Journal of Lie Theory

no. 4
A Different Perspective on H-like Lie Algebras
Journal of Lie Theory, Volume 30 (2020) no. 4, pp. 981-996
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.
DOI: 10.5802/jolt.1147
Classification: 53C30, 22E25
Keywords: nilmanifold, H-type, H-like, Heisenberg type, Heisenberg algebra 
@article{JOLT_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},
     doi = {10.5802/jolt.1147},
     zbl = {1462.53047},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1147/}
}
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C. Kriloff; T. Payne. A Different Perspective on H-like Lie Algebras. Journal of Lie Theory, Volume 30 (2020) no. 4, pp. 981-996. doi: 10.5802/jolt.1147

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