紧半单李代数中对易子的注释

Q4 Mathematics

Innovations in Incidence Geometry Pub Date : 2023-09-13 DOI:10.2140/iig.2023.20.317

Linus Kramer

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A note on commutators in compact semisimple Lie algebras

Given two elements $A,B$ in a compact semisimple Lie algebra, we show that there is a regular element $X$ and elements $Y,Z$ with $A=[X,Y]$ and $B=[X,Z]$. In the course of the proof we show also that every linear subspace $V$ of codimension at most 2 in the Lie algebra contains a CSA.

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来源期刊

Innovations in Incidence Geometry Mathematics-Geometry and Topology

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0.40

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0.00%

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