Gradings on Simple Lie Algebras

Elduque, Alberto; Kochetov, Mikhail

doi:10.1090/surv/189

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Gradings on Simple Lie Algebras

About this Title

Alberto Elduque, Universidad de Zaragoza, Zaragoza, Spain and Mikhail Kochetov, Memorial University of Newfoundland, St. John’s, NL, Canada

Publication: Mathematical Surveys and Monographs
Publication Year: 2013; Volume 189
ISBNs: 978-0-8218-9846-8 (print); 978-1-4704-0995-1 (online)
DOI: https://doi.org/10.1090/surv/189
MathSciNet review: 3087174
MSC: Primary 17B20; Secondary 17B70

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Introduction
1. Gradings on algebras
2. Associative algebras
3. Classical Lie algebras
4. Composition algebras and type $G_2$
5. Jordan algebras and type $F_4$
6. Other simple Lie algebras in characteristic zero
7. Lie algebras of Cartan type in prime characteristic
Appendix A. Affine group schemes
Appendix B. Irreducible root systems

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Gradings on Simple Lie Algebras

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