Let g be a complex simple Lie algebra. We consider subalgebras m which are Levi factors of parabolic subalgebras of g, or equivalently m is the centralizer of its center. We introduced the notion of admissible systems on finite order g-automorphisms θ , and show that θ has admissible systems if and only if its fixed point set is a Levi factor. We then use the extended Dynkin diagrams to characterize

Levi Factors and Admissible Automorphisms

Fioresi, Rita
Membro del Collaboration Group
2021

Abstract

Let g be a complex simple Lie algebra. We consider subalgebras m which are Levi factors of parabolic subalgebras of g, or equivalently m is the centralizer of its center. We introduced the notion of admissible systems on finite order g-automorphisms θ , and show that θ has admissible systems if and only if its fixed point set is a Levi factor. We then use the extended Dynkin diagrams to characterize
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/812274
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