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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