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群的表示与群的特征

ISBN: 9787510004582

出版年: 2009-5

页数: 458

定价: 49.00元

内容简介


《群的表示与群的特征(第2版)(英文版)》内容为:Representation theory is concerned with the ways of writing a groupas a group of matrices. Not only is the theory beautiful in its own right,but it also provides one of the keys to a proper understanding of finitegroups. For example, it is often vital to have a concrete description of aparticular group; this is achieved by finding a representation of thegroup as a group of matrices. Moreover, by studying the differentrepresentations of the group, it is possible to prove results which lieoutside the framework of representation theory. One simple example: allgroups of order p2 (where p is a prime number) are abelian; this can beshown quickly using only group theory, but it is also a consequence ofbasic results about representations.

关键词: 表示 特征