JANTZEN FILTRATION OF WEYL MODULES, PRODUCT OF YOUNG SYMMETRIZERS AND DENOMINATOR OF YOUNG'S SEMINORMAL BASIS | |
Fang, Ming2,3; Lim, Kay Jin1; Tan, Kai Meng4 | |
刊名 | REPRESENTATION THEORY |
2020-10-29 | |
卷号 | 24页码:551-579 |
关键词 | Jantzen filtration Young symmetrizer Young's seminormal basis |
ISSN号 | 1088-4165 |
DOI | 10.1090/ert/553 |
英文摘要 | 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. |
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 |
语种 | 英语 |
出版者 | AMER MATHEMATICAL SOC |
WOS记录号 | WOS:000587258200001 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52464] |
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.Nanyang Technol Univ, Div Math Sci, SPMS-04-01,21 Nanyang Link, Singapore 637371, Singapore 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 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. |
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