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Invariant Theory of Finite Groups
Mara D. NeuselLarry Smith
出版American Mathematical Soc., 2002
主題Mathematics / GeneralMathematics / Algebra / GeneralMathematics / Group Theory
ISBN08218291659780821829165
URLhttp://books.google.com.hk/books?id=tLEyb4qhaRoC&hl=&source=gbs_api
EBookSAMPLE
註釋The questions that have been at the centre of invariant theory since the 19th century have revolved around the following themes: finiteness, computation, and special classes of invariants. This book begins with a survey of many concrete examples chosen from these themes in the algebraic, homological, and combinatorial context. In further chapters, the authors pick one or the other of these questions as a departure point and present the known answers, open problems, and methods and tools needed to obtain these answers. Chapter 2 deals with algebraic finiteness. Chapter 3 deals with combinatorial finiteness. Chapter 4 presents Noetherian finiteness. Chapter 5 addresses homological finiteness. Chapter 6 presents special classes of invariants, which deal with modular invariant theory and its particular problems and features. Chapter 7 collects results for special classes of invariants and coinvariants such as (pseudo) reflection groups and representations of low degree.