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	Orbital characters and their applications
	Wang, Lizhong ; Zhang, Jiping
	2015
关键词	GROUP-ALGEBRA
英文摘要	In this paper, we provide some formulae to calculate orbital characters. Especially we give a lifting theorem by which one can read off the value of orbital characters from local subgroups. With orbital characters, we can show that Reynolds ideal is dual to the vector space of simple modules and this leads to a new method to count simple modules. We also give a natural morphism from local to general vector space of simple modules and determine it completely. Some other applications to modular representation are also included. (C) 2014 Elsevier B.V. All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE; lwang@math.pku.edu.cn; jzhang@pku.edu.cn; 1; 121-141; 219
语种	英语
出处	SCI
出版者	journal of pure and applied algebra
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/206761]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, Lizhong,Zhang, Jiping. Orbital characters and their applications. 2015-01-01.

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