On the inverse Kostka matrix

doi:10.1016/S0097-3165(03)00106-7

CSpace

	On the inverse Kostka matrix
	Duan, HB
	2003-08-01
发表期刊	JOURNAL OF COMBINATORIAL THEORY SERIES A
ISSN	0097-3165
卷号	103 期号:2 页码:363-376
摘要	In the ring of symmetric functions the inverse Kostka matrix appears as the transition matrix from the bases given by monomial symmetric functions to the Schur bases. We present both a combinatorial characterization and a recurrent formula for the entries of the inverse Kostka matrix which are different from the results obtained by Egecioglu and Remmel (Linear Multilinear Algebra 26 (1990) 59). An application to the topology of the classifying space BU(n) is obtained. (C) 2003 Elsevier Inc. All rights reserved.
关键词	Schur and monomial symmetric functions Kostka matrix
DOI	10.1016/S0097-3165(03)00106-7
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000184717600011
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18119
专题	中国科学院数学与系统科学研究院
通讯作者	Duan, HB
作者单位	Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Duan, HB. On the inverse Kostka matrix[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A,2003,103(2):363-376.
APA	Duan, HB.(2003).On the inverse Kostka matrix.JOURNAL OF COMBINATORIAL THEORY SERIES A,103(2),363-376.
MLA	Duan, HB."On the inverse Kostka matrix".JOURNAL OF COMBINATORIAL THEORY SERIES A 103.2(2003):363-376.