twistedhamiltonianliealgebrasandtheirmultiplicityfreerepresentations

CSpace

	twistedhamiltonianliealgebrasandtheirmultiplicityfreerepresentations
	Chen Ling
	2011
发表期刊	actamathematicasinicaenglishseries
ISSN	1439-8516
卷号	27 期号:1 页码:45
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
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/44951
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Chen Ling. twistedhamiltonianliealgebrasandtheirmultiplicityfreerepresentations[J]. actamathematicasinicaenglishseries,2011,27(1):45.
APA	Chen Ling.(2011).twistedhamiltonianliealgebrasandtheirmultiplicityfreerepresentations.actamathematicasinicaenglishseries,27(1),45.
MLA	Chen Ling."twistedhamiltonianliealgebrasandtheirmultiplicityfreerepresentations".actamathematicasinicaenglishseries 27.1(2011):45.