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- W3134795274 abstract "Abstract Let $mathfrak {g}$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>g</mml:mi> </mml:math> be a complex simple Lie algebra. We consider subalgebras $mathfrak {m}$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>m</mml:mi> </mml:math> which are Levi factors of parabolic subalgebras of $mathfrak {g}$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>g</mml:mi> </mml:math> , or equivalently $mathfrak {m}$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>m</mml:mi> </mml:math> is the centralizer of its center. We introduced the notion of admissible systems on finite order $mathfrak {g}$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>g</mml:mi> </mml:math> -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." @default.
- W3134795274 created "2021-03-15" @default.
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- W3134795274 date "2021-03-01" @default.
- W3134795274 modified "2023-10-17" @default.
- W3134795274 title "Levi Factors and Admissible Automorphisms" @default.
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- W3134795274 doi "https://doi.org/10.1007/s10468-020-10024-8" @default.
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