Geodesic
Characterizations of Heisenberg-like Lie Algebras
Journal of Lie theory, Tome 21 (2011) no. 3, pp. 711-727 Cet article a éte moissonné depuis la source Heldermann Verlag

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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).
Classification : 53C30, 22E25
Mots-clés : Nilpotent Lie algebras, Nilpotent Lie groups, Heisenberg type Lie algebra, Heisenberg-like Lie algebra 
@article{JLT_2011_21_3_JLT_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},
     url = {http://geodesic.mathdoc.fr/item/JLT_2011_21_3_JLT_2011_21_3_a3/}
}
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R. C. DeCoste; L. DeMeyer; M. B. Mast . Characterizations of Heisenberg-like Lie Algebras. Journal of Lie theory, Tome 21 (2011) no. 3, pp. 711-727. http://geodesic.mathdoc.fr/item/JLT_2011_21_3_JLT_2011_21_3_a3/