Levi Factors and Admissible Automorphisms
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AbstractLet $\mathfrak {g}$ g be a complex simple Lie algebra. We consider subalgebras $\mathfrak {m}$ m which are Levi factors of parabolic subalgebras of $\mathfrak {g}$ g , or equivalently $\mathfrak {m}$ m is the centralizer of its center. We introduced the notion of admissible systems on finite order $\mathfrak {g}$ 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 such automorphisms, and look for automorphisms of minimal order.
1986 ◽
Vol 297
(2)
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pp. 521-521
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2021 ◽
pp. 305-319
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2014 ◽
Vol 2014
(1)
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pp. 51
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2008 ◽
Vol 341
(2)
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pp. 1445-1456
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2020 ◽
Vol 29
(04)
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pp. 2050021
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