Articles liés à Invariant Theory of Finite Groups

Invariant Theory of Finite Groups - Couverture souple

Neusel, Mara D.; Smith, Larry

 
9780821849811: Invariant Theory of Finite Groups
Couverture souple
ISBN 10 : 0821849816 ISBN 13 : 9780821849811
Editeur : American Mathematical Society, 2014

Synopsis

The questions that have been at the center 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. If the ground field is finite, additional problems appear and are compensated for in part by the emergence of new tools. One of these is the Steenrod algebra, which the authors introduce in Chapter 8 to solve the inverse invariant theory problem, around which the authors have organized the last three chapters.
<>br>The book contains numerous examples to illustrate the theory, often of more than passing interest, and an appendix on commutative graded algebra, which provides some of the required basic background. There is an extensive reference list to provide the reader with orientation to the vast literature.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Mara D. Neusel, University of Notre Dame, IN, USA

Larry Smith, University of Gottingen, Germany

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2014
Langue
anglais
ISBN 10 
0821849816
ISBN 13 
9780821849811
Reliure
Broché
Nombre de pages
371
Coordonnées du fabricant
non disponible
Personne responsable
non disponible