Journal of Lie Theory

no. 2
On Exceptional Nilpotents in Semisimple Lie Algebras
Journal of Lie Theory, Volume 19 (2009) no. 2, pp. 371-390
We classify all pairs (m,e), where m is a positive integer and e is a nilpotent element of a simple Lie algebra, that arise in connection with the classification of simple rational W-algebras.
DOI: 10.5802/jolt.557
Classification: 17B20, 17B69
Keywords: Simple Lie algebra, nilpotent orbit, centralizer, Coxeter number, Levi subalgebra 
@article{JOLT_2009_19_2_a10,
     author = {A. G. Elashvili and V. G. Kac and E. B. Vinberg},
     title = {On {Exceptional} {Nilpotents} in {Semisimple} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {371--390},
     year = {2009},
     volume = {19},
     number = {2},
     doi = {10.5802/jolt.557},
     zbl = {1252.17006},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.557/}
}
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A. G. Elashvili; V. G. Kac; E. B. Vinberg. On Exceptional Nilpotents in Semisimple Lie Algebras. Journal of Lie Theory, Volume 19 (2009) no. 2, pp. 371-390. doi: 10.5802/jolt.557

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