Representations of nongraded Lie algebras of block type

doi:10.1007/s00229-005-0614-x

	Representations of nongraded Lie algebras of block type
	Zhao, YF
刊名	MANUSCRIPTA MATHEMATICA
	2006-02-01
卷号	119 期号:2 页码:183-216
ISSN号	0025-2611
DOI	10.1007/s00229-005-0614-x
英文摘要	From his classification of quadratic conformal algebras corresponding to certain Hamiltonian pairs in integrable systems, Xu found a family of simple Lie algebras related to pairs of locally-finite derivations on certain commutative associative algebras. In this paper, we construct a large family of irreducible modules with four parameters for Xu's two-devivation algebras via the corresponding algebras of Weyl type. When the derivations are graded operators, we obtain a large family of uniformly-bounded irreducible weight modules for the Block algebras.
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000235138600003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/3560]
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, YF
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhao, YF. Representations of nongraded Lie algebras of block type[J]. MANUSCRIPTA MATHEMATICA,2006,119(2):183-216.
APA	Zhao, YF.(2006).Representations of nongraded Lie algebras of block type.MANUSCRIPTA MATHEMATICA,119(2),183-216.
MLA	Zhao, YF."Representations of nongraded Lie algebras of block type".MANUSCRIPTA MATHEMATICA 119.2(2006):183-216.