Equivalence classes of Vogan diagrams

Meng Kiat Chuah, Chu-Chin Hu

研究成果: 雜誌貢獻文章

16 引文 斯高帕斯(Scopus)

摘要

A Vogan diagram is a Dynkin diagram with an involution, and the vertices fixed by the involution may be painted. They represent real simple Lie algebras, and two diagrams are said to be equivalent if they represent the same Lie algebra. In this article we classify the equivalence classes of all Vogan diagrams. In doing so, we find that the underlying Dynkin diagrams have certain properties in graph painting. We show that this combinatorial property provides an easy classification for most of the simply-laced Dynkin diagrams.

原文英語
頁(從 - 到)22-37
頁數16
期刊Journal of Algebra
279
發行號1
DOIs
出版狀態已發佈 - 2004 九月 1

ASJC Scopus subject areas

  • Algebra and Number Theory

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