Journal of Lie Theory

no. 1
Semisimple Algebras of Vector Fields on CN of Maximal Rank
Journal of Lie Theory, Volume 35 (2025) no. 1, pp. 101-108
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.
DOI: 10.5802/jolt.1375
Classification: 17B66, 32M25, 57R25
Keywords: Vector field, semisimple Lie algebra, Levi decomposition 
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     author = {H. Azad and I. Biswas and F. 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},
     doi = {10.5802/jolt.1375},
     zbl = {1567.17034},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1375/}
}
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H. Azad; I. Biswas; F. M. Mahomed. Semisimple Algebras of Vector Fields on CN of Maximal Rank. Journal of Lie Theory, Volume 35 (2025) no. 1, pp. 101-108. doi: 10.5802/jolt.1375

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