The Characteristic Polynomial of the Mixed Arrangement  

作　　者：SU Dan ZHANG Dunmu 

机构地区：[1]School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China [2]School of Information Technology and Management Engineering, University of International Business and Economics,Beijing 100029, China

出　　处：《Wuhan University Journal of Natural Sciences》2007年第2期203-206,共4页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China(10471020)

摘　　要：We consider the mixed arrangement which is composed of the central hyperplane arrangement and a sphere. We discuss the lattice of its intersection set and the relationship between the Mobius function of the mixed arrangement and the original hyperplane arangement. The Mobius function of the mixed arrangement is equal to the positive or the negative Mobius function of original hyperplane arrangement. Moreover, we give an equality of the chambers and the characteristic polynomial for the mixed arrangement.We consider the mixed arrangement which is composed of the central hyperplane arrangement and a sphere. We discuss the lattice of its intersection set and the relationship between the Mobius function of the mixed arrangement and the original hyperplane arangement. The Mobius function of the mixed arrangement is equal to the positive or the negative Mobius function of original hyperplane arrangement. Moreover, we give an equality of the chambers and the characteristic polynomial for the mixed arrangement.

关 键 词：mixed arrangement Mobius function characteristicpolynomial 

分 类 号：O187.2[理学—数学]