Journal of Lie Theory

no. 1
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, 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

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, Volume 35 (2025) no. 1, pp. 101-108. doi: 10.5802/jolt.1375
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     journal = {Journal of Lie Theory},
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