Extended Vogan diagrams

Meng Kiat Chuah, Chu-Chin Hu

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

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
Volume301
Issue number1
DOIs
Publication statusPublished - 2006 Jul 1

Fingerprint

Diagram
Affine Kac-Moody Algebra
Involution
Lie Algebra
Isomorphic
Dynkin Diagram
Equivalence class
Classify
Algebra
Class
Form

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Extended Vogan diagrams. / Chuah, Meng Kiat; Hu, Chu-Chin.

In: Journal of Algebra, Vol. 301, No. 1, 01.07.2006, p. 112-147.

Research output: Contribution to journalArticle

Chuah, Meng Kiat ; Hu, Chu-Chin. / Extended Vogan diagrams. In: Journal of Algebra. 2006 ; Vol. 301, No. 1. pp. 112-147.
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