On Exceptional Nilpotents in Semisimple Lie Algebras
Journal of Lie theory, Tome 19 (2009) no. 2, pp. 371-39
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.
Classification :
17B20, 17B69
Mots-clés : Simple Lie algebra, nilpotent orbit, centralizer, Coxeter number, Levi subalgebra
Mots-clés : Simple Lie algebra, nilpotent orbit, centralizer, Coxeter number, Levi subalgebra
@article{JLT_2009_19_2_JLT_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--39},
year = {2009},
volume = {19},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JLT_2009_19_2_JLT_2009_19_2_a10/}
}
TY - JOUR AU - A. G. Elashvili AU - V. G. Kac AU - E. B. Vinberg TI - On Exceptional Nilpotents in Semisimple Lie Algebras JO - Journal of Lie theory PY - 2009 SP - 371 EP - 39 VL - 19 IS - 2 UR - http://geodesic.mathdoc.fr/item/JLT_2009_19_2_JLT_2009_19_2_a10/ ID - JLT_2009_19_2_JLT_2009_19_2_a10 ER -
A. G. Elashvili; V. G. Kac; E. B. Vinberg. On Exceptional Nilpotents in Semisimple Lie Algebras. Journal of Lie theory, Tome 19 (2009) no. 2, pp. 371-39. http://geodesic.mathdoc.fr/item/JLT_2009_19_2_JLT_2009_19_2_a10/