Journal of Lie Theory 19 (2009), No. 2, 371--390
Copyright Heldermann Verlag 2009
On Exceptional Nilpotents in Semisimple Lie Algebras
Alexander G. Elashvili
Razmadze Mathematical Institute, M. Alexidze St. 1, Tbilisi 0193, Georgia
alela@rmi.acnet.ge
Victor G. Kac
Massachusetts Institute of Technology, Department of Mathematics, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, U.S.A.
kac@math.mit.edu
Ernest B. Vinberg
Moscow State University, Department of Mathematics, Moscow 119992, GSP-2, Russia
vinberg@zebra.ru
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.
Keywords: Simple Lie algebra, nilpotent orbit, centralizer, Coxeter number, Levi subalgebra.
MSC: 17B20; 17B69
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