Journal of Lie Theory

no. 2
On Exceptional Nilpotents in Semisimple Lie Algebras
Alexander G. Elashvili1; Victor G. Kac2; Ernest B. Vinberg3
1Razmadze Mathematical Institute, M. Alexidze St. 1, Tbilisi 0193, Georgia
2Massachusetts Institute of Technology, Department of Mathematics, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, U.S.A.
3Moscow State University, Department of Mathematics, Moscow 119992, GSP-2, Russia
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

Alexander G. Elashvili  1 ; Victor G. Kac  2 ; Ernest B. Vinberg  3

1 Razmadze Mathematical Institute, M. Alexidze St. 1, Tbilisi 0193, Georgia
2 Massachusetts Institute of Technology, Department of Mathematics, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, U.S.A.
3 Moscow State University, Department of Mathematics, Moscow 119992, GSP-2, Russia 
Alexander G. Elashvili; Victor G. Kac; Ernest 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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     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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