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Representations of four-derivation Lie algebras of Block type
Zhao, Yu Feng ; Liang, Zhi Bin
2010
关键词irreducible modules nongraded Lie algebras nongraded Lie algebras of Block type QUASIFINITE REPRESENTATIONS DIFFERENTIAL-OPERATORS CARTAN TYPE MODULES
英文摘要Block introduced certain analogues of the Zassenhaus algebras over a field of characteristic 0. The nongraded infinite-dimensional simple Lie algebras of Block type constructed by Xu can be viewed as generalizations of the Block algebras. In this paper, we construct a family of irreducible modules in terms of multiplication and differentiation operators on "polynomials" for four-devivation nongraded Lie algebras of Block type based on the finite-dimensional irreducible weight modules with multiplicity one of general linear Lie algebras. We also find a new series of submodules from which some irreducible quotient modules are obtained.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000273586200004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mathematics; SCI(E); 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); 2; ARTICLE; 1; 49-76; 26
语种英语
出处SCI
出版者acta mathematica sinica english series
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/157704]  
专题数学科学学院
推荐引用方式
GB/T 7714
Zhao, Yu Feng,Liang, Zhi Bin. Representations of four-derivation Lie algebras of Block type. 2010-01-01.
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