Irreducible representations of nongraded Witt type Lie algebras

doi:10.1016/j.jalgebra.2005.10.002

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	Irreducible representations of nongraded Witt type Lie algebras
	Zhao, YF
	2006-04-15
发表期刊	JOURNAL OF ALGEBRA
ISSN	0021-8693
卷号	298 期号:2 页码:540-562
摘要	From his classification of quadratic conformal algebras corresponding to certain Hamiltonian pairs in integrable systems, Xu gave an explicit construction of seven types of nongraded infinite-dimensional simple Lie algebra related to a finite set of locally-finite derivations on certain commutative associative algebras. In this paper, we construct a family of irreducible generalized weight modules for the nongraded Witt type Lie algebras based on finite-dimensional irreducible modules of general linear Lie algebras. Our results are nongraded generalizations of Rao's work on irreducible representations of the derivation Lie algebra of the algebra of Laurent polynomials in several variables. (c) 2005 Elsevier Inc. All rights reserved.
DOI	10.1016/j.jalgebra.2005.10.002
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000236997500010
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2534
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, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhao, YF. Irreducible representations of nongraded Witt type Lie algebras[J]. JOURNAL OF ALGEBRA,2006,298(2):540-562.
APA	Zhao, YF.(2006).Irreducible representations of nongraded Witt type Lie algebras.JOURNAL OF ALGEBRA,298(2),540-562.
MLA	Zhao, YF."Irreducible representations of nongraded Witt type Lie algebras".JOURNAL OF ALGEBRA 298.2(2006):540-562.