Geodesic
Coadjoint Orbits for A+n-1, B+n, and D+n
Shantala Mukherjee1
122 West Mayfield, Edinburgh EH9 1TQ, England
Journal of Lie Theory, Tome 16 (2006) no. 3, pp. 455-469

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

A complete description of the coadjoint orbits for $A_{n-1}^{+}$, the nilpotent Lie algebra of $n\times n$ strictly upper triangular matrices, has not yet been obtained, though there has been steady progress on it ever since the orbit method was devised. We apply methods developed by Andr\'{e} to find defining equations for the elementary coadjoint orbits for the maximal nilpotent Lie subalgebras of the orthogonal Lie algebras, and we also determine all the possible dimensions of coadjoint orbits in the case of $A_{n-1}^+$.
Classification : 17B30,17B35
Mots-clés : Coadjoint orbit, nilpotent Lie algebra

Shantala Mukherjee  1

1 22 West Mayfield, Edinburgh EH9 1TQ, England 
Shantala Mukherjee. Coadjoint Orbits for A+n-1, B+n, and D+n. Journal of Lie Theory, Tome 16 (2006) no. 3, pp. 455-469. http://geodesic.mathdoc.fr/item/JOLT_2006_16_3_a2/
@article{JOLT_2006_16_3_a2,
     author = {Shantala Mukherjee},
     title = {Coadjoint {Orbits} for {A\protect\textsuperscript{+}\protect\textsubscript{n-1},} {B\protect\textsuperscript{+}\protect\textsubscript{n},} and {D\protect\textsuperscript{+}\protect\textsubscript{n}}},
     journal = {Journal of Lie Theory},
     pages = {455--469},
     year = {2006},
     volume = {16},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2006_16_3_a2/}
}
TY  - JOUR
AU  - Shantala Mukherjee
TI  - Coadjoint Orbits for A+n-1, B+n, and D+n
JO  - Journal of Lie Theory
PY  - 2006
SP  - 455
EP  - 469
VL  - 16
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JOLT_2006_16_3_a2/
ID  - JOLT_2006_16_3_a2
ER  - 
%0 Journal Article
%A Shantala Mukherjee
%T Coadjoint Orbits for A+n-1, B+n, and D+n
%J Journal of Lie Theory
%D 2006
%P 455-469
%V 16
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2006_16_3_a2/
%F JOLT_2006_16_3_a2