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Modular Invariant Theory
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Book Synopsis Modular Invariant Theory by : H.E.A. Eddy Campbell
Download or read book Modular Invariant Theory written by H.E.A. Eddy Campbell and published by Springer Science & Business Media. This book was released on 2011-01-12 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Modular Invariant Theory by : H.E.A. Eddy Campbell
Download or read book Modular Invariant Theory written by H.E.A. Eddy Campbell and published by Springer. This book was released on 2011-04-08 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :Harold Edward Alexander Eddy Campbell Publisher :American Mathematical Soc. ISBN 13 :0821832441 Total Pages :305 pages Book Rating :4.8/5 (218 download)
Book Synopsis Invariant Theory in All Characteristics by : Harold Edward Alexander Eddy Campbell
Download or read book Invariant Theory in All Characteristics written by Harold Edward Alexander Eddy Campbell and published by American Mathematical Soc.. This book was released on 2004 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Codes and Modular Forms by : Minjia Shi
Download or read book Codes and Modular Forms written by Minjia Shi and published by World Scientific Publishing Company. This book was released on 2019-11-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Codes and lattices : a dictionary -- Modular forms in one variable -- Siegel modular forms -- Jacobi forms -- Automorphic forms over number fields -- Construction of self-dual codes of higher lengths over Z2m and determination of Jacobi forms -- Byte weight enumerators of codes and modular forms of genus g -- Byte weight enumerators of codes over Fp and modular forms over a totally real field.
Book Synopsis Invariant Theory of Finite Groups by : Mara D. Neusel
Download or read book Invariant Theory of Finite Groups written by Mara D. Neusel and published by American Mathematical Soc.. This book was released on 2002 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 andtools 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 invarianttheory 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, ad 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 withorientation to the vast literature.
Book Synopsis A Treatise on the Theory of Invariants by : Oliver Edmunds Glenn
Download or read book A Treatise on the Theory of Invariants written by Oliver Edmunds Glenn and published by . This book was released on 1915 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Invariant Theory by : Mara D. Neusel
Download or read book Invariant Theory written by Mara D. Neusel and published by American Mathematical Soc.. This book was released on 2007 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the characteristic zero invariant theory of finite groups acting linearly on polynomial algebras. The author assumes basic knowledge of groups and rings, and introduces more advanced methods from commutative algebra along the way. The theory is illustrated by numerous examples and applications to physics, engineering, numerical analysis, combinatorics, coding theory, and graph theory. A wide selection of exercises and suggestions for further reading makes the book appropriate for an advanced undergraduate or first-year graduate level course.
Book Synopsis Modular Invariant Theory of Graded Lie Algebras by : Floriana Amicone
Download or read book Modular Invariant Theory of Graded Lie Algebras written by Floriana Amicone and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Invariant Theory by : Igor Dolgachev
Download or read book Lectures on Invariant Theory written by Igor Dolgachev and published by Cambridge University Press. This book was released on 2003-08-07 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.
Book Synopsis The Algebraic Theory of Modular Systems by : Francis Sowerby Macaulay
Download or read book The Algebraic Theory of Modular Systems written by Francis Sowerby Macaulay and published by . This book was released on 1916 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Invariant Theory and Superalgebras by : Frank D. Grosshans
Download or read book Invariant Theory and Superalgebras written by Frank D. Grosshans and published by American Mathematical Soc.. This book was released on 1987-12-31 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings the reader to the frontiers of research in some topics in superalgebras and symbolic method in invariant theory. Superalgebras are algebras containing positively-signed and negatively-signed variables. One of the book's major results is an extension of the standard basis theorem to superalgebras. This extension requires a rethinking of some basic concepts of linear algebra, such as matrices and coordinate systems, and may lead to an extension of the entire apparatus of linear algebra to ``signed'' modules. The authors also present the symbolic method for the invariant theory of symmetric and of skew-symmetric tensors. In both cases, the invariants are obtained from the symbolic representation by applying what the authors call the umbral operator. This operator can be used to systematically develop anticommutative analogs of concepts of algebraic geometry, and such results may ultimately turn out to be the main byproduct of this investigation. While it will be of special interest to mathematicians and physicists doing research in superalgebras, invariant theory, straightening algorithms, Young bitableaux, and Grassmann's calculus of extension, the book starts from basic principles and should therefore be accessible to those who have completed the standard graduate level courses in algebra and/or combinatorics.
Book Synopsis Computational Invariant Theory by : Harm Derksen
Download or read book Computational Invariant Theory written by Harm Derksen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the first volume of a subseries on "Invariant Theory and Algebraic Transformation Groups", provides a comprehensive and up-to-date overview of the algorithmic aspects of invariant theory. Numerous illustrative examples and a careful selection of proofs make the book accessible to non-specialists.
Book Synopsis A Treatise on the Theory of Invariants by : Oliver E. Glenn
Download or read book A Treatise on the Theory of Invariants written by Oliver E. Glenn and published by . This book was released on 1995-06 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Theory of Invariants - Monograph in Mathematics by : Oliver Edwards Glenn
Download or read book Theory of Invariants - Monograph in Mathematics written by Oliver Edwards Glenn and published by Watchmaker Publishing. This book was released on 2003-07 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multiplicative Invariant Theory by : Martin Lorenz
Download or read book Multiplicative Invariant Theory written by Martin Lorenz and published by Springer Science & Business Media. This book was released on 2005-03-10 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiplicative invariant theory, as a research area in its own right within the wider spectrum of invariant theory, is of relatively recent vintage. The present text offers a coherent account of the basic results achieved thus far.. Multiplicative invariant theory is intimately tied to integral representations of finite groups. Therefore, the field has a predominantly discrete, algebraic flavor. Geometry, specifically the theory of algebraic groups, enters through Weyl groups and their root lattices as well as via character lattices of algebraic tori. Throughout the text, numerous explicit examples of multiplicative invariant algebras and fields are presented, including the complete list of all multiplicative invariant algebras for lattices of rank 2. The book is intended for graduate and postgraduate students as well as researchers in integral representation theory, commutative algebra and, mostly, invariant theory.
Book Synopsis On Invariants and the Theory of Numbers by : Leonard Eugene Dickson
Download or read book On Invariants and the Theory of Numbers written by Leonard Eugene Dickson and published by Courier Corporation. This book was released on 2004-01-01 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of enormous historical importance, this classic offered the first public formulation of Dickson's theory of invariants for modular forms and linear transformations. In many sections of the five lectures included here, Dickson aimed not at complete generality, but at an illumination of typical and suggestive topics. The introductory lecture is followed by sections on seminvariants of algebraic and modular binary forms; invariants of a modular group and formal invariants and covariants of modular forms; modular geometry and covariantive theory of a quadratic form in m variables, modulo 2; and a theory of plane cubic curves with a real inflexion point valid in ordinary and in modular geometry. 1914 ed.
Book Synopsis Cohomology Operations and Modular Invariant Theory by : L. Lomonaco
Download or read book Cohomology Operations and Modular Invariant Theory written by L. Lomonaco and published by . This book was released on 1992 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
