Extended Vogan diagrams

Meng Kiat Chuah, Chu Chin Hu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


An extended Vogan diagram is an extended Dynkin diagram with a diagram involution, such that the vertices fixed by the involution can be painted or unpainted. Every extended Vogan diagram represents an almost compact real form of some affine Kac-Moody Lie algebra. Two diagrams may represent isomorphic algebras, and in this case we say that the diagrams are equivalent. In this paper, we classify the equivalence classes of extended Vogan diagrams, and provide a complete list of all diagrams within each class. It gives a combinatorial classification of the isomorphic classes of almost compact real forms of the affine Kac-Moody Lie algebras.

Original languageEnglish
Pages (from-to)112-147
Number of pages36
JournalJournal of Algebra
Issue number1
Publication statusPublished - 2006 Jul 1
Externally publishedYes


  • Almost compact real form
  • Extended Vogan diagram
  • Kac-Moody Lie algebra

ASJC Scopus subject areas

  • Algebra and Number Theory


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