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- Title
Shuhan图分类及其应用.
- Authors
吴伟才; 刘俊吉; 谢卫军
- Abstract
Shuhan diagram is an interdisciplinary research object of graph theory, Kac-Moody algebra and matrix theory. Firstly, Shuhan diagram is defined, and then using the classification method of graph theory, all connected Shuhan diagrams: A(a)n(n≥2), D(a)n(n≥4), E(a)6, E(a)7, E(a)8 are obtained, this proves that Dynkin diagram corresponding to the connected non twisted single-side affine Lie algebra is exactly all connected Shuhan diagram with the minimum number of 1. Furthermore, according to the properties of Shuhan diagrams, any Shuhan diagram is composed of several connected Shuhan diagrams, which gives a complete classification of Shuhan diagrams.
- Subjects
DYNKIN diagrams; KAC-Moody algebras; GRAPH theory; MATRICES (Mathematics); INTERDISCIPLINARY research; NILPOTENT Lie groups
- Publication
Journal of Dalian University of Technology / Dalian Ligong Daxue Xuebao, 2022, Vol 62, Issue 6, p650
- ISSN
1000-8608
- Publication type
Article
- DOI
10.7511/dllgxb202206013