Extended Vogan diagrams

Meng Kiat Chuah, Chu Chin Hu*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

16 引文 斯高帕斯(Scopus)

摘要

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.

原文英語
頁(從 - 到)112-147
頁數36
期刊Journal of Algebra
301
發行號1
DOIs
出版狀態已發佈 - 2006 7月 1
對外發佈

ASJC Scopus subject areas

  • 代數與數理論

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