Invariant Theory (Student Mathematical Library, 36, Band 36) - Softcover

Inhaltsangabe

Neusel (mathematics, Texas Tech U.) introduces the theory of polynomial invariants of finite groups to advanced undergraduates or first-year graduate students with standard knowledge of abstract and linear algebra. Dealing only with ground fields of characteristic zero (although much of the material remains valid in finite characteristic), she present chapters reviewing fundamental notions of groups and rings, defining particular linear group actions on polynomial rigs and the invariants, dealing with permutation representations and the invariants, describing various methods to construct invariant polynomials, proving the First Fundamental Theorem of Invariant Theory for the symmetric group, introducing the classical Noether theorems as the algebraic foundations of the field, and proving the Shephard-Todd- Chevalley Theorem that characterizes the invariants of pseudoreflection groups. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)

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