Some translations in the second lowest two-sided cell of an affine Weyl group

doi:10.1016/j.jpaa.2022.107084

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	Some translations in the second lowest two-sided cell of an affine Weyl group
	Qiu, Yannan 1,2
	2022-11-01
发表期刊	JOURNAL OF PURE AND APPLIED ALGEBRA
ISSN	0022-4049
卷号	226 期号:11 页码:28
摘要	We are interested in cell properties of translations in affine Weyl groups. We find out some translations in the second lowest two-sided cell of an affine Weyl group and use the translations to formulate a refinement of Jianyi Shi's conjecture on the number of left cells in the second lowest two-sided cell. We verify the refinement for an affine Weyl group of type A tilde n-1 or type tilde G2.(c) 2022 Elsevier B.V. All rights reserved.
关键词	Affine Weyl group Extended affine Weyl groups Two-sided cell Left cell The second lowest two-sided cell Translations
DOI	10.1016/j.jpaa.2022.107084
收录类别	SCI
语种	英语
资助项目	NSFC[11621061]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000793248000009
出版者	ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61307
专题	中国科学院数学与系统科学研究院
通讯作者	Qiu, Yannan
作者单位	1.Zhejiang Univ, Sch Math Sci, Hangzhou 310058, Zhejiang, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Qiu, Yannan. Some translations in the second lowest two-sided cell of an affine Weyl group[J]. JOURNAL OF PURE AND APPLIED ALGEBRA,2022,226(11):28.
APA	Qiu, Yannan.(2022).Some translations in the second lowest two-sided cell of an affine Weyl group.JOURNAL OF PURE AND APPLIED ALGEBRA,226(11),28.
MLA	Qiu, Yannan."Some translations in the second lowest two-sided cell of an affine Weyl group".JOURNAL OF PURE AND APPLIED ALGEBRA 226.11(2022):28.