Journal of Lie Theory

no. 3
Characterizations of Heisenberg-like Lie Algebras
Journal of Lie Theory, Volume 21 (2011) no. 3, pp. 711-727
We obtain characterizations of Heisenberg-like Lie algebras which are generalizations of results on Lie algebras of Heisenberg type, including a characterization for Heisenberg-like Lie algebras in terms of the curvature transformation. We also establish infinite families of examples of Lie algebras which are Heisenberg-like, but not Heisenberg type, including examples arising from representations of su(2).
DOI: 10.5802/jolt.645
Classification: 53C30, 22E25
Keywords: Nilpotent Lie algebras, Nilpotent Lie groups, Heisenberg type Lie algebra, Heisenberg-like Lie algebra 
@article{JOLT_2011_21_3_a3,
     author = {R. C. DeCoste and L. DeMeyer and M. B. Mast},
     title = {Characterizations of {Heisenberg-like} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {711--727},
     year = {2011},
     volume = {21},
     number = {3},
     doi = {10.5802/jolt.645},
     zbl = {1222.53055},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.645/}
}
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R. C. DeCoste; L. DeMeyer; M. B. Mast. Characterizations of Heisenberg-like Lie Algebras. Journal of Lie Theory, Volume 21 (2011) no. 3, pp. 711-727. doi: 10.5802/jolt.645

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