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	THE DIMENSION OF CENTRALISERS OF MATRICES OF ORDER n
	Zhang, Dong ; Zhao, Hancong
	2016
关键词	centraliser asymptotic enumeration partition commutator
英文摘要	In this paper, we study the integer sequence (E-n)(n >= 1), where En counts the number of possible dimensions for centralisers of n x n matrices. We give an example to show another combinatorial interpretation of E-n and present an implicit recurrence formula for E-n, which may provide a fast algorithm for computing E-n. Based on the recurrence, we obtain the asymptotic formula E-n = 1/2 n(2) - 2/3 root 2n(3/2) + O(n(5/4)).; SCI(E); ARTICLE; dongzhang@pku.edu.cn; hancongzh@163.com; 3; 353-361; 94
语种	英语
出处	SCI
出版者	BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/458327]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zhang, Dong,Zhao, Hancong. THE DIMENSION OF CENTRALISERS OF MATRICES OF ORDER n. 2016-01-01.

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