A New Functor from E (6)-mod to E (7)-mod

doi:10.1080/00927872.2014.918992

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	A New Functor from E (6)-mod to E (7)-mod
	Xu, Xiaoping
刊名	COMMUNICATIONS IN ALGEBRA
	2015
卷号	43 期号:9 页码:3589-3635
关键词	Functor Irreducible module Polynomial extension Representation Simple Lie algebra
ISSN号	0092-7872
DOI	10.1080/00927872.2014.918992
英文摘要	We find a new representation of the simple Lie algebra of type E-7 on the polynomial algebra in 27 variables. Using this representation and Shen's idea of mixed product, we construct a new functor from E-6-Mod to E-7-Mod. A condition for the functor to map a finite-dimensional irreducible E-6-module to an infinite-dimensional irreducible E-7-module is obtained. Our general framework also gives a direct polynomial extension from irreducible E-6-modules to irreducible E-7-modules, which can be used to derive Gel'fand-Zetlin bases for E-7 from those for E-6 that can be obtained from those for D-5 according to our earlier work.
语种	英语
出版者	TAYLOR & FRANCIS INC
WOS记录号	WOS:000356966000001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/20090]
专题	数学所
通讯作者	Xu, Xiaoping
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Hua Loo Keng Key Math Lab, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xu, Xiaoping. A New Functor from E (6)-mod to E (7)-mod[J]. COMMUNICATIONS IN ALGEBRA,2015,43(9):3589-3635.
APA	Xu, Xiaoping.(2015).A New Functor from E (6)-mod to E (7)-mod.COMMUNICATIONS IN ALGEBRA,43(9),3589-3635.
MLA	Xu, Xiaoping."A New Functor from E (6)-mod to E (7)-mod".COMMUNICATIONS IN ALGEBRA 43.9(2015):3589-3635.