A new functor from D (5)-Mod to E (6)-Mod

doi:10.1007/s10114-016-5219-7

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 数学所

	A new functor from D (5)-Mod to E (6)-Mod
	Xu, Xiao Ping
刊名	ACTA MATHEMATICA SINICA-ENGLISH SERIES
	2016-08-01
卷号	32 期号:8 页码:867-892
关键词	Simple Lie algebra of type E-6 simple Lie algebra of type D-5 module category functor irreducibility
ISSN号	1439-8516
DOI	10.1007/s10114-016-5219-7
英文摘要	We find a new representation of the simple Lie algebra of type E (6) on the polynomial algebra in 16 variables, which gives a fractional representation of the corresponding Lie group on 16-dimensional space. Using this representation and Shen's idea of mixed product, we construct a new functor from D (5)-Mod to E (6)-Mod. A condition for the functor to map a finite-dimensional irreducible D (5)-module to an infinite-dimensional irreducible E (6)-module is obtained. Our results yield explicit constructions of certain infinite-dimensional irreducible weight E6-modules with finite-dimensional weight subspaces. In our approach, the idea of Kostant's characteristic identities plays a key role.
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000379537100001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/23178]
专题	数学所
通讯作者	Xu, Xiao Ping
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, Xiao Ping. A new functor from D (5)-Mod to E (6)-Mod[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2016,32(8):867-892.
APA	Xu, Xiao Ping.(2016).A new functor from D (5)-Mod to E (6)-Mod.ACTA MATHEMATICA SINICA-ENGLISH SERIES,32(8),867-892.
MLA	Xu, Xiao Ping."A new functor from D (5)-Mod to E (6)-Mod".ACTA MATHEMATICA SINICA-ENGLISH SERIES 32.8(2016):867-892.