Twisted Hamiltonian Lie Algebras and Their Multiplicity-Free Representations

doi:10.1007/s10114-011-0204-7

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	Twisted Hamiltonian Lie Algebras and Their Multiplicity-Free Representations
	Chen, Ling
	2011
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	27 期号:1 页码:45-72
摘要	We construct a class of new Lie algebras by generalizing the one-variable Lie algebras generated by the quadratic conformal algebras (or corresponding Hamiltonian operators) associated with Poisson algebras and a quasi-derivation found by Xu. These algebras can be viewed as certain twists of Xu's generalized Hamiltonian Lie algebras. The simplicity of these algebras is completely determined. Moreover, we construct a family of multiplicity-free representations of these Lie algebras and prove their irreducibility.
关键词	Hamiltonian Lie algebras representation simplicity irreducibility
DOI	10.1007/s10114-011-0204-7
语种	英语
资助项目	National Natural Science Foundation of China[10871193]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000285405300004
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12228
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Ling
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Ling. Twisted Hamiltonian Lie Algebras and Their Multiplicity-Free Representations[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2011,27(1):45-72.
APA	Chen, Ling.(2011).Twisted Hamiltonian Lie Algebras and Their Multiplicity-Free Representations.ACTA MATHEMATICA SINICA-ENGLISH SERIES,27(1),45-72.
MLA	Chen, Ling."Twisted Hamiltonian Lie Algebras and Their Multiplicity-Free Representations".ACTA MATHEMATICA SINICA-ENGLISH SERIES 27.1(2011):45-72.