Modular Invariant Theory: 139 (Encyclopaedia of Mathematical Sciences, 139) - Hardcover

Book 43 of 47: Encyclopaedia of Mathematical Sciences

Campbell, H.E.A. Eddy; Wehlau, David L.

 
9783642174032: Modular Invariant Theory: 139 (Encyclopaedia of Mathematical Sciences, 139)

Synopsis

This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group, a theory that is more complicated than the study of the classical non-modular case. Largely self-contained, the book develops the theory from its origins up to modern results. It explores many examples, illustrating the theory and its contrast with the better understood non-modular setting. It details techniques for the computation of invariants for many modular representations of finite groups, especially the case of the cyclic group of prime order. It includes detailed examples of many topics as well as a quick survey of the elements of algebraic geometry and commutative algebra as they apply to invariant theory. The book is aimed at both graduate students and researchers―an introduction to many important topics in modern algebra within a concrete setting for the former, an exploration of a fascinating subfield of algebraic geometry for the latter.

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From the Back Cover

This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group. It explains a theory that is more complicated than the study of the classical non-modular case, and it describes many open questions.

Largely self-contained, the book develops the theory from its origins up to modern results. It explores many examples, illustrating the theory and its contrast with the better understood non-modular setting. It details techniques for the computation of invariants for many modular representations of finite groups, especially the case of the cyclic group of prime order. It includes detailed examples of many topics as well as a quick survey of the elements of algebraic geometry and commutative algebra as they apply to invariant theory. The book is aimed at both graduate students and researchers―an introduction to many important topics in modern algebra within a concrete setting for the former, an exploration of a fascinating subfield of algebraic geometry for the latter.

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Other Popular Editions of the Same Title

9783642266805: Modular Invariant Theory: 139 (Encyclopaedia of Mathematical Sciences, 139)

Featured Edition

ISBN 10:  3642266800 ISBN 13:  9783642266805
Publisher: Springer, 2013
Softcover