JANTZEN FILTRATION OF WEYL MODULES, PRODUCT OF YOUNG SYMMETRIZERS AND DENOMINATOR OF YOUNG'S SEMINORMAL BASIS

doi:10.1090/ert/553

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	JANTZEN FILTRATION OF WEYL MODULES, PRODUCT OF YOUNG SYMMETRIZERS AND DENOMINATOR OF YOUNG'S SEMINORMAL BASIS
	Fang, Ming 1,2; Lim, Kay Jin 3; Tan, Kai Meng 4
	2020-10-29
发表期刊	REPRESENTATION THEORY
ISSN	1088-4165
卷号	24 页码:551-579
摘要	Let G be a connected reductive algebraic group over an algebraically closed field of characteristic p > 0, Delta(lambda) denote the Weyl module of G of highest weight lambda and iota(lambda,mu) : Delta(lambda + mu) -> Delta(lambda) circle times Delta(mu) be the canonical G-morphism. We study the split condition for iota(lambda,mu) over Z((p)), and apply this as an approach to compare the Jantzen filtrations of the Weyl modules Delta(lambda) and Delta(lambda + mu). In the case when G is of type A, we show that the split condition is closely related to the product of certain Young symmetrizers and, under some mild conditions, is further characterized by the denominator of a certain Young's seminormal basis vector. We obtain explicit formulas for the split condition in some cases.
关键词	Jantzen filtration Young symmetrizer Young's seminormal basis
DOI	10.1090/ert/553
收录类别	SCI
语种	英语
资助项目	NSFC[11688101] ; NSFC[11471315] ; NSFC[11321101] ; Singapore MOE Tier 2 AcRF[MOE2015-T2-2-003]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000587258200001
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52465
专题	中国科学院数学与系统科学研究院
通讯作者	Fang, Ming
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Nanyang Technol Univ, Div Math Sci, SPMS-04-01,21 Nanyang Link, Singapore 637371, Singapore 4.Natl Univ Singapore, Dept Math, Block S17,10 Lower Kent Ridge Rd, Singapore 119076, Singapore
推荐引用方式 GB/T 7714	Fang, Ming,Lim, Kay Jin,Tan, Kai Meng. JANTZEN FILTRATION OF WEYL MODULES, PRODUCT OF YOUNG SYMMETRIZERS AND DENOMINATOR OF YOUNG'S SEMINORMAL BASIS[J]. REPRESENTATION THEORY,2020,24:551-579.
APA	Fang, Ming,Lim, Kay Jin,&Tan, Kai Meng.(2020).JANTZEN FILTRATION OF WEYL MODULES, PRODUCT OF YOUNG SYMMETRIZERS AND DENOMINATOR OF YOUNG'S SEMINORMAL BASIS.REPRESENTATION THEORY,24,551-579.
MLA	Fang, Ming,et al."JANTZEN FILTRATION OF WEYL MODULES, PRODUCT OF YOUNG SYMMETRIZERS AND DENOMINATOR OF YOUNG'S SEMINORMAL BASIS".REPRESENTATION THEORY 24(2020):551-579.