Geodesic
Characterizations of Heisenberg-like Lie Algebras
Rachelle C. DeCoste1 ; Lisa DeMeyer2 ; Maura B. Mast3
1Dept. of Mathematics and Computer Science, Wheaton College, Norton, MA 02766, U.S.A.
2Dept. of Mathematics, Central Michigan University, Mount Pleasant, MI 48858, U.S.A.
3Dept. of Mathematics, University of Massachusetts, Boston, MA 02125-3393, U.S.A.
Journal of Lie Theory, Tome 21 (2011) no. 3, pp. 711-727

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Rachelle C. DeCoste  1   ; Lisa DeMeyer  2   ; Maura B. Mast  3

1 Dept. of Mathematics and Computer Science, Wheaton College, Norton, MA 02766, U.S.A.
2 Dept. of Mathematics, Central Michigan University, Mount Pleasant, MI 48858, U.S.A.
3 Dept. of Mathematics, University of Massachusetts, Boston, MA 02125-3393, U.S.A. 
Rachelle C. DeCoste; Lisa DeMeyer; Maura 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/JOLT_2011_21_3_a3/
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     author = {Rachelle C. DeCoste and Lisa DeMeyer and Maura 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/JOLT_2011_21_3_a3/}
}
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