Geodesic
Semisimple Algebras of Vector Fields on CN of Maximal Rank
Hassan Azad1 ; Indranil Biswas2 ; Fazal M. Mahomed3
1Abdus Salam School of Mathematical Sciences, Lahore, Pakistan
2Dept. of Mathematics, Shiv Nadar University, Tehsil Dadri, Greater Noida, Uttar Pradesh, India
3School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa
Journal of Lie Theory, Tome 35 (2025) no. 1, pp. 101-108

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

A local classification of semisimple Lie algebras of vector fields on CN that have a Cartan subalgebra of dimension N is given. The proof uses basic representation theory and the local canonical form of semisimple Lie algebras of vector fields.
Classification : 17B66, 32M25, 57R25
Mots-clés : Vector field, semisimple Lie algebra, Levi decomposition

Hassan Azad  1   ; Indranil Biswas  2   ; Fazal M. Mahomed  3

1 Abdus Salam School of Mathematical Sciences, Lahore, Pakistan
2 Dept. of Mathematics, Shiv Nadar University, Tehsil Dadri, Greater Noida, Uttar Pradesh, India
3 School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa 
Hassan Azad; Indranil Biswas; Fazal M. Mahomed. Semisimple Algebras of Vector Fields on CN of Maximal Rank. Journal of Lie Theory, Tome 35 (2025) no. 1, pp. 101-108. http://geodesic.mathdoc.fr/item/JOLT_2025_35_1_a5/
@article{JOLT_2025_35_1_a5,
     author = {Hassan Azad and Indranil Biswas and Fazal M. Mahomed},
     title = {Semisimple {Algebras} of {Vector} {Fields} on {C\protect\textsuperscript{N}} of {Maximal} {Rank}},
     journal = {Journal of Lie Theory},
     pages = {101--108},
     year = {2025},
     volume = {35},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2025_35_1_a5/}
}
TY  - JOUR
AU  - Hassan Azad
AU  - Indranil Biswas
AU  - Fazal M. Mahomed
TI  - Semisimple Algebras of Vector Fields on CN of Maximal Rank
JO  - Journal of Lie Theory
PY  - 2025
SP  - 101
EP  - 108
VL  - 35
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JOLT_2025_35_1_a5/
ID  - JOLT_2025_35_1_a5
ER  - 
%0 Journal Article
%A Hassan Azad
%A Indranil Biswas
%A Fazal M. Mahomed
%T Semisimple Algebras of Vector Fields on CN of Maximal Rank
%J Journal of Lie Theory
%D 2025
%P 101-108
%V 35
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2025_35_1_a5/
%F JOLT_2025_35_1_a5