Invariant Theory In All Characteristics

Download Invariant Theory In All Characteristics full books in PDF, epub, and Kindle. Read online Invariant Theory In All Characteristics ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Invariant Theory in All Characteristics

Author : Harold Edward Alexander Eddy Campbell
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870303
Total Pages : 308 pages
Book Rating : 4.8/5 (73 download)

DOWNLOAD NOW!

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 with total page 308 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.

The Invariant Theory of Matrices

Author : Corrado De Concini
Publisher : American Mathematical Soc.
ISBN 13 : 147044187X
Total Pages : 153 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis The Invariant Theory of Matrices by : Corrado De Concini

Download or read book The Invariant Theory of Matrices written by Corrado De Concini and published by American Mathematical Soc.. This book was released on 2017-11-16 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a unified, complete, and self-contained exposition of the main algebraic theorems of invariant theory for matrices in a characteristic free approach. More precisely, it contains the description of polynomial functions in several variables on the set of matrices with coefficients in an infinite field or even the ring of integers, invariant under simultaneous conjugation. Following Hermann Weyl's classical approach, the ring of invariants is described by formulating and proving (1) the first fundamental theorem that describes a set of generators in the ring of invariants, and (2) the second fundamental theorem that describes relations between these generators. The authors study both the case of matrices over a field of characteristic 0 and the case of matrices over a field of positive characteristic. While the case of characteristic 0 can be treated following a classical approach, the case of positive characteristic (developed by Donkin and Zubkov) is much harder. A presentation of this case requires the development of a collection of tools. These tools and their application to the study of invariants are exlained in an elementary, self-contained way in the book.

Invariant Theory of Finite Groups

Author : Mara D. Neusel
Publisher : American Mathematical Soc.
ISBN 13 : 0821849816
Total Pages : 384 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

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 2010-03-08 with total page 384 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 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.

Modular Invariant Theory

Author : H.E.A. Eddy Campbell
Publisher : Springer Science & Business Media
ISBN 13 : 3642174043
Total Pages : 233 pages
Book Rating : 4.6/5 (421 download)

DOWNLOAD NOW!

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.

Lectures on Invariant Theory

Author : Igor Dolgachev
Publisher : Cambridge University Press
ISBN 13 : 9780521525480
Total Pages : 244 pages
Book Rating : 4.5/5 (254 download)

DOWNLOAD NOW!

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.

Invariant Theory

Author : Mara D. Neusel
Publisher : American Mathematical Soc.
ISBN 13 : 0821841327
Total Pages : 326 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

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.

An Introduction to Invariants and Moduli

Author : Shigeru Mukai
Publisher : Cambridge University Press
ISBN 13 : 9780521809061
Total Pages : 528 pages
Book Rating : 4.8/5 (9 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Invariants and Moduli by : Shigeru Mukai

Download or read book An Introduction to Invariants and Moduli written by Shigeru Mukai and published by Cambridge University Press. This book was released on 2003-09-08 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sample Text

Invariant Theory

Author : T.A. Springer
Publisher : Springer
ISBN 13 : 3540373705
Total Pages : 118 pages
Book Rating : 4.5/5 (43 download)

DOWNLOAD NOW!

Book Synopsis Invariant Theory by : T.A. Springer

Download or read book Invariant Theory written by T.A. Springer and published by Springer. This book was released on 2006-11-14 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Invariant Theory

Author : John Fogarty
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Invariant Theory by : John Fogarty

Download or read book Invariant Theory written by John Fogarty and published by . This book was released on 1969 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Classical Invariant Theory

Author : Peter J. Olver
Publisher : Cambridge University Press
ISBN 13 : 9780521558211
Total Pages : 308 pages
Book Rating : 4.5/5 (582 download)

DOWNLOAD NOW!

Book Synopsis Classical Invariant Theory by : Peter J. Olver

Download or read book Classical Invariant Theory written by Peter J. Olver and published by Cambridge University Press. This book was released on 1999-01-13 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a self-contained introduction to the results and methods in classical invariant theory.

Multiplicative Invariant Theory

Author : Martin Lorenz
Publisher : Springer Science & Business Media
ISBN 13 : 3540273581
Total Pages : 179 pages
Book Rating : 4.5/5 (42 download)

DOWNLOAD NOW!

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 2005-12-08 with total page 179 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.

Young Tableaux in Combinatorics, Invariant Theory, and Algebra

Author : Joseph P.S. Kung
Publisher : Elsevier
ISBN 13 : 1483272028
Total Pages : 344 pages
Book Rating : 4.4/5 (832 download)

DOWNLOAD NOW!

Book Synopsis Young Tableaux in Combinatorics, Invariant Theory, and Algebra by : Joseph P.S. Kung

Download or read book Young Tableaux in Combinatorics, Invariant Theory, and Algebra written by Joseph P.S. Kung and published by Elsevier. This book was released on 2014-05-12 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Young Tableaux in Combinatorics, Invariant Theory, and Algebra: An Anthology of Recent Work is an anthology of papers on Young tableaux and their applications in combinatorics, invariant theory, and algebra. Topics covered include reverse plane partitions and tableau hook numbers; some partitions associated with a partially ordered set; frames and Baxter sequences; and Young diagrams and ideals of Pfaffians. Comprised of 16 chapters, this book begins by describing a probabilistic proof of a formula for the number f? of standard Young tableaux of a given shape f?. The reader is then introduced to the generating function of R. P. Stanley for reverse plane partitions on a tableau shape; an analog of Schensted's algorithm relating permutations and triples consisting of two shifted Young tableaux and a set; and a variational problem for random Young tableaux. Subsequent chapters deal with certain aspects of Schensted's construction and the derivation of the Littlewood-Richardson rule for the multiplication of Schur functions using purely combinatorial methods; monotonicity and unimodality of the pattern inventory; and skew-symmetric invariant theory. This volume will be helpful to students and practitioners of algebra.

Invariant Theory, Old and New

Author : Jean Alexandre Dieudonné
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Invariant Theory, Old and New by : Jean Alexandre Dieudonné

Download or read book Invariant Theory, Old and New written by Jean Alexandre Dieudonné and published by . This book was released on 1971 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

L2-Invariants: Theory and Applications to Geometry and K-Theory

Author : Wolfgang Lück
Publisher : Springer Science & Business Media
ISBN 13 : 3662046873
Total Pages : 604 pages
Book Rating : 4.6/5 (62 download)

DOWNLOAD NOW!

Book Synopsis L2-Invariants: Theory and Applications to Geometry and K-Theory by : Wolfgang Lück

Download or read book L2-Invariants: Theory and Applications to Geometry and K-Theory written by Wolfgang Lück and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: In algebraic topology some classical invariants - such as Betti numbers and Reidemeister torsion - are defined for compact spaces and finite group actions. They can be generalized using von Neumann algebras and their traces, and applied also to non-compact spaces and infinite groups. These new L2-invariants contain very interesting and novel information and can be applied to problems arising in topology, K-Theory, differential geometry, non-commutative geometry and spectral theory. The book, written in an accessible manner, presents a comprehensive introduction to this area of research, as well as its most recent results and developments.

Geometric Invariant Theory and Decorated Principal Bundles

Author : Alexander H. W. Schmitt
Publisher : European Mathematical Society
ISBN 13 : 9783037190654
Total Pages : 404 pages
Book Rating : 4.1/5 (96 download)

DOWNLOAD NOW!

Book Synopsis Geometric Invariant Theory and Decorated Principal Bundles by : Alexander H. W. Schmitt

Download or read book Geometric Invariant Theory and Decorated Principal Bundles written by Alexander H. W. Schmitt and published by European Mathematical Society. This book was released on 2008 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book starts with an introduction to Geometric Invariant Theory (GIT). The fundamental results of Hilbert and Mumford are exposed as well as more recent topics such as the instability flag, the finiteness of the number of quotients, and the variation of quotients. In the second part, GIT is applied to solve the classification problem of decorated principal bundles on a compact Riemann surface. The solution is a quasi-projective moduli scheme which parameterizes those objects that satisfy a semistability condition originating from gauge theory. The moduli space is equipped with a generalized Hitchin map. Via the universal Kobayashi-Hitchin correspondence, these moduli spaces are related to moduli spaces of solutions of certain vortex type equations. Potential applications include the study of representation spaces of the fundamental group of compact Riemann surfaces. The book concludes with a brief discussion of generalizations of these findings to higher dimensional base varieties, positive characteristic, and parabolic bundles. The text is fairly self-contained (e.g., the necessary background from the theory of principal bundles is included) and features numerous examples and exercises. It addresses students and researchers with a working knowledge of elementary algebraic geometry.

Determinantal Rings

Author : Winfried Bruns
Publisher : Springer
ISBN 13 : 3540392742
Total Pages : 246 pages
Book Rating : 4.5/5 (43 download)

DOWNLOAD NOW!

Book Synopsis Determinantal Rings by : Winfried Bruns

Download or read book Determinantal Rings written by Winfried Bruns and published by Springer. This book was released on 2006-11-14 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. Their study has attracted many prominent researchers and has motivated the creation of theories which may now be considered part of general commutative ring theory. The book gives a first coherent treatment of the structure of determinantal rings. The main approach is via the theory of algebras with straightening law. This approach suggest (and is simplified by) the simultaneous treatment of the Schubert subvarieties of Grassmannian. Other methods have not been neglected, however. Principal radical systems are discussed in detail, and one section is devoted to each of invariant and representation theory. While the book is primarily a research monograph, it serves also as a reference source and the reader requires only the basics of commutative algebra together with some supplementary material found in the appendix. The text may be useful for seminars following a course in commutative ring theory since a vast number of notions, results, and techniques can be illustrated significantly by applying them to determinantal rings.

Symmetry, Representations, and Invariants

Author : Roe Goodman
Publisher : Springer Science & Business Media
ISBN 13 : 0387798528
Total Pages : 731 pages
Book Rating : 4.3/5 (877 download)

DOWNLOAD NOW!

Book Synopsis Symmetry, Representations, and Invariants by : Roe Goodman

Download or read book Symmetry, Representations, and Invariants written by Roe Goodman and published by Springer Science & Business Media. This book was released on 2009-07-30 with total page 731 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is a key ingredient in many mathematical, physical, and biological theories. Using representation theory and invariant theory to analyze the symmetries that arise from group actions, and with strong emphasis on the geometry and basic theory of Lie groups and Lie algebras, Symmetry, Representations, and Invariants is a significant reworking of an earlier highly-acclaimed work by the authors. The result is a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups, in a new presentation that is more accessible to students and includes a broader range of applications. The philosophy of the earlier book is retained, i.e., presenting the principal theorems of representation theory for the classical matrix groups as motivation for the general theory of reductive groups. The wealth of examples and discussion prepares the reader for the complete arguments now given in the general case. Key Features of Symmetry, Representations, and Invariants: (1) Early chapters suitable for honors undergraduate or beginning graduate courses, requiring only linear algebra, basic abstract algebra, and advanced calculus; (2) Applications to geometry (curvature tensors), topology (Jones polynomial via symmetry), and combinatorics (symmetric group and Young tableaux); (3) Self-contained chapters, appendices, comprehensive bibliography; (4) More than 350 exercises (most with detailed hints for solutions) further explore main concepts; (5) Serves as an excellent main text for a one-year course in Lie group theory; (6) Benefits physicists as well as mathematicians as a reference work.