Geodesic
Automorphisms of Non-Singular Nilpotent Lie Algebras
Aroldo Kaplan1 ; Alejandro Tiraboschi2
1Facultad de Matemática, Universidad Nacional, CIEM -- CONICET, Ciudad Universitaria, Córdoba (5000), Argentina
2Facultad de Matemática, Universidad Nacional, CIEM -- CONICET (5000), Ciudad Universitaria, Córdoba, Argentina
Journal of Lie Theory, Tome 23 (2013) no. 4, pp. 1085-1100

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

\def\n{{\frak n}} \def\Aut{\mathop{\rm Aut}\nolimits} For a real, non-singular, 2-step nilpotent Lie algebra $\n$, the group $\Aut(\n)/\Aut_0(\n)$, where $\Aut_0(\n)$ is the group of automorphisms which act trivially on the center, is the direct product of a compact group with the 1-dimensional group of dilations. Maximality of some automorphisms groups of $\n$ follows and is related to how close is $\n$ to being of Heisenberg type. For example, at least when the dimension of the center is two, $\dim \Aut(\n)$ is maximal if and only if $\n$ is of Heisenberg type. The connection with fat distributions is discussed.
Classification : 17B30, 16W25
Mots-clés : Lie groups, Lie algebras, Heisenberg type groups

Aroldo Kaplan  1   ; Alejandro Tiraboschi  2

1 Facultad de Matemática, Universidad Nacional, CIEM -- CONICET, Ciudad Universitaria, Córdoba (5000), Argentina
2 Facultad de Matemática, Universidad Nacional, CIEM -- CONICET (5000), Ciudad Universitaria, Córdoba, Argentina 
Aroldo Kaplan; Alejandro Tiraboschi. Automorphisms of Non-Singular Nilpotent Lie Algebras. Journal of Lie Theory, Tome 23 (2013) no. 4, pp. 1085-1100. http://geodesic.mathdoc.fr/item/JOLT_2013_23_4_a10/
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     title = {Automorphisms of {Non-Singular} {Nilpotent} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
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     year = {2013},
     volume = {23},
     number = {4},
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