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Gradings on the exceptional Lie algebras $F_4$ and $G_2$ revisited
Author(s) -
Alberto Elduque,
Mikhail Kochetov
Publication year - 2012
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/691
Subject(s) - mathematics , lie algebra , pure mathematics , algebra over a field , psychology
All gradings by abelian groups are classified on the following algebras overan algebraically closed field of characteristic not 2: the simple Lie algebraof type $G_2$ (characteristic not 3), the exceptional simple Jordan algebra,and the simple Lie algebra of type $F_4$.

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