A Class of Simple Modules for Electrical Lie Algebra of Type D5

O151.2; 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...

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Published in东华大学学报（英文版） Vol. 40; no. 2; pp. 232 - 236
Main Authors CHEN Yulu, SHEN Ran, ZHANG Jiangang
Format Journal Article
LanguageEnglish
Published College of Science,Donghua University,Shanghai 201620,China%College of Science&Mathematics,Shanghai Normal University,Shanghai 200233,China 01.04.2023
Subjects
simple module
electrical Lie algebra
highest weight module
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Summary:O151.2; 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.
ISSN:1672-5220
DOI:10.19884/j.1672-5220.202112006