Math 2.0

Nonassociative rings and algebras Semisimple Lie algebras Concept

Vogan diagram

Summary

A Vogan diagram is a Dynkin diagram with extra marks that records a real form of a complex semisimple Lie algebra. The marks come from a Cartan involution acting on the roots of a maximally compact Cartan subalgebra. Vogan diagrams give a short route to the classification of real simple Lie algebras. They play the role for compact Cartan subalgebras that Satake diagrams play for maximally split ones.

Further reading

  1. Web https://en.wikipedia.org/wiki/Vogan_diagram
About this page
TagN8J09DSEVH
URIm2://N8J09DSEVH
Kindconcept
WritingW0 stub
MSC17B20, 17B22
SpecializesDynkin diagram
Same as
Changed3 November 2026

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