Modular Invariant Theory
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Modular Invariant Theory
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Author : H.E.A. Eddy Campbell
language : en
Publisher: Springer
Release Date : 2011-04-08
Modular Invariant Theory written by H.E.A. Eddy Campbell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-08 with Mathematics categories.
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.
Modular Invariant Theory
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Author : H.E.A. Eddy Campbell
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-12
Modular Invariant Theory written by H.E.A. Eddy Campbell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-12 with Mathematics categories.
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.
Invariant Theory In All Characteristics
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Author : Harold Edward Alexander Eddy Campbell
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Invariant Theory In All Characteristics written by Harold Edward Alexander Eddy Campbell and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Invariants categories.
This volume includes the proceedings of a workshop on Invariant Theory held at Queen's University (Ontario). The workshop was part of the theme year held under the auspices of the Centre de recherches mathematiques (CRM) in Montreal. The gathering brought together two communities of researchers: those working in characteristic 0 and those working in positive characteristic. The book contains three types of papers: survey articles providing introductions to computational invarianttheory, modular invariant theory of finite groups, and the invariant theory of Lie groups; expository works recounting recent research in these three areas and beyond; and open problems of current interest. The book is suitable for graduate students and researchers working in invarianttheory.
Modular Invariant Theory Of Graded Lie Algebras
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Author : Floriana Amicone
language : en
Publisher:
Release Date : 2019
Modular Invariant Theory Of Graded Lie Algebras written by Floriana Amicone and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Invariant Theory Of Finite Groups
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Author : Mara D. Neusel
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-03-08
Invariant Theory Of Finite Groups written by Mara D. Neusel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-08 with Mathematics categories.
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. 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.
Cohomology Operations And Modular Invariant Theory
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Author : L. Lomonaco
language : en
Publisher:
Release Date : 1992
Cohomology Operations And Modular Invariant Theory written by L. Lomonaco and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Codes And Modular Forms A Dictionary
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Author : Minjia Shi
language : en
Publisher: World Scientific
Release Date : 2019-11-20
Codes And Modular Forms A Dictionary written by Minjia Shi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-20 with Mathematics categories.
There are connections between invariant theory and modular forms since the times of Felix Klein, in the 19th century, connections between codes and lattices since the 1960's. The aim of the book is to explore the interplay between codes and modular forms. Here modular form is understood in a wide sense (Jacobi forms, Siegel forms, Hilbert forms). Codes comprises not only linear spaces over finite fields but modules over some commutative rings. The connection between codes over finite fields and lattices has been well documented since the 1970s. Due to an avalanche of results on codes over rings since the 1990's there is a need for an update at book level.
A Treatise On The Theory Of Invariants
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Author : Oliver Edmunds Glenn
language : en
Publisher:
Release Date : 1915
A Treatise On The Theory Of Invariants written by Oliver Edmunds Glenn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1915 with Invariants categories.
A Treatise On The Theory Of Invariants
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Author : Oliver E. Glenn
language : en
Publisher:
Release Date : 1995-06
A Treatise On The Theory Of Invariants written by Oliver E. Glenn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-06 with Mathematics categories.
1 THE PRINCIPLES OF INVARIANT THEORY 2 PROPERTIES OF INVARIANTS 3 THE PROCESSES OF INVARIANT THEORY 4 REDUCTION 5 GORDAN'S THEOREM 6 FUNDAMENTAL SYSTEMS 7 COMBINANTS AND RATIONAL CURVES 8 SEMINVARIANTS. MODULAR INVARIANTS 9 INVARIANTS OF TERNARY FORMS
Steenrod Operations And Modular Invariant Theory For Odd Primes
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Author : Adriana Ciampella
language : en
Publisher:
Release Date : 2001
Steenrod Operations And Modular Invariant Theory For Odd Primes written by Adriana Ciampella and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.