A Class of Simple Modules for Electrical Lie Algebra of Type D5
- Resource Type
- Academic Journal
- Authors
- CHEN Yulu; SHEN Ran; ZHANG Jiangang
- Source
- 东华大学学报(英文版) / Journal of Donghua University(English Edition). 40(2):232-236
- Subject
- electrical Lie algebra
simple module
highest weight module
- Language
- Chinese
- ISSN
- 1672-5220
The simple modules for electrical Lie algebra of type D5 were investigated.The sufficient and necessary criteria of the simple Z-graded highest weight modules were established by means of determining the singular vectors of the Verma modules.The simple highest weight module is isomorphic to either that for the symplectic Lie algebra sp4 or Verma module.