Actions And Invariants Of Algebraic Groups Second Edition PDF Download
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| Author | : Walter Ricardo Ferrer Santos |
| Publisher | : |
| Total Pages | : 472 |
| Release | : 2017 |
| Genre | : Affine algebraic groups |
| ISBN | : 9780429135736 |
Download Actions and Invariants of Algebraic Groups, Second Edition Book in PDF, ePub and Kindle
Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions. Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.--Provided by publisher.
| Author | : Walter Ricardo Ferrer Santos |
| Publisher | : CRC Press |
| Total Pages | : 479 |
| Release | : 2017-09-19 |
| Genre | : Mathematics |
| ISBN | : 1482239167 |
Download Actions and Invariants of Algebraic Groups Book in PDF, ePub and Kindle
Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.
| Author | : Walter Ricardo Ferrer Santos |
| Publisher | : CRC Press |
| Total Pages | : 709 |
| Release | : 2017-09-19 |
| Genre | : Mathematics |
| ISBN | : 1351644777 |
Download Actions and Invariants of Algebraic Groups Book in PDF, ePub and Kindle
Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.
| Author | : Walter Ferrer Santos |
| Publisher | : CRC Press |
| Total Pages | : 472 |
| Release | : 2005-04-26 |
| Genre | : Mathematics |
| ISBN | : 1420030795 |
Download Actions and Invariants of Algebraic Groups Book in PDF, ePub and Kindle
Actions and Invariants of Algebraic Groups presents a self-contained introduction to geometric invariant theory that links the basic theory of affine algebraic groups to Mumford's more sophisticated theory. The authors systematically exploit the viewpoint of Hopf algebra theory and the theory of comodules to simplify and compactify many of the rele
| Author | : A. Bialynicki-Birula |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 248 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 3662050714 |
Download Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action Book in PDF, ePub and Kindle
This is the second volume of the new subseries "Invariant Theory and Algebraic Transformation Groups". The aim of the survey by A. Bialynicki-Birula is to present the main trends and achievements of research in the theory of quotients by actions of algebraic groups. This theory contains geometric invariant theory with various applications to problems of moduli theory. The contribution by J. Carrell treats the subject of torus actions on algebraic varieties, giving a detailed exposition of many of the cohomological results one obtains from having a torus action with fixed points. Many examples, such as toric varieties and flag varieties, are discussed in detail. W.M. McGovern studies the actions of a semisimple Lie or algebraic group on its Lie algebra via the adjoint action and on itself via conjugation. His contribution focuses primarily on nilpotent orbits that have found the widest application to representation theory in the last thirty-five years.
| Author | : Magdalena D. Toda |
| Publisher | : CRC Press |
| Total Pages | : 157 |
| Release | : 2017-10-30 |
| Genre | : Mathematics |
| ISBN | : 1498744648 |
Download Willmore Energy and Willmore Conjecture Book in PDF, ePub and Kindle
This book is the first monograph dedicated entirely to Willmore energy and Willmore surfaces as contemporary topics in differential geometry. While it focuses on Willmore energy and related conjectures, it also sits at the intersection between integrable systems, harmonic maps, Lie groups, calculus of variations, geometric analysis and applied differential geometry. Rather than reproducing published results, it presents new directions, developments and open problems. It addresses questions like: What is new in Willmore theory? Are there any new Willmore conjectures and open problems? What are the contemporary applications of Willmore surfaces? As well as mathematicians and physicists, this book is a useful tool for postdoctoral researchers and advanced graduate students working in this area.
| Author | : Mircea Sofonea |
| Publisher | : CRC Press |
| Total Pages | : 329 |
| Release | : 2017-10-23 |
| Genre | : Mathematics |
| ISBN | : 1498761593 |
Download Variational-Hemivariational Inequalities with Applications Book in PDF, ePub and Kindle
This research monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its application to solid and contact mechanics. Based on authors’ original results, it introduces a general fixed point principle and its application to various nonlinear problems in analysis and mechanics. The classes of history-dependent operators and almost history-dependent operators are exposed in a large generality. A systematic and unified presentation contains a carefully-selected collection of new results on variational-hemivariational inequalities with or without unilateral constraints. A wide spectrum of static, quasistatic, dynamic contact problems for elastic, viscoelastic and viscoplastic materials illustrates the applicability of these theoretical results. Written for mathematicians, applied mathematicians, engineers and scientists, it is also a valuable tool for graduate students and researchers in nonlinear analysis, mathematical modelling, mechanics of solids, and contact mechanics.
| Author | : Simon Serovajsky |
| Publisher | : CRC Press |
| Total Pages | : 539 |
| Release | : 2017-09-13 |
| Genre | : Mathematics |
| ISBN | : 1498750958 |
Download Optimization and Differentiation Book in PDF, ePub and Kindle
Optimization and Differentiation is an introduction to the application of optimization control theory to systems described by nonlinear partial differential equations. As well as offering a useful reference work for researchers in these fields, it is also suitable for graduate students of optimal control theory.
| Author | : Irina V. Melnikova |
| Publisher | : CRC Press |
| Total Pages | : 160 |
| Release | : 2016-04-27 |
| Genre | : Mathematics |
| ISBN | : 1498785859 |
Download Stochastic Cauchy Problems in Infinite Dimensions Book in PDF, ePub and Kindle
Stochastic Cauchy Problems in Infinite Dimensions: Generalized and Regularized Solutions presents stochastic differential equations for random processes with values in Hilbert spaces. Accessible to non-specialists, the book explores how modern semi-group and distribution methods relate to the methods of infinite-dimensional stochastic analysis. It also shows how the idea of regularization in a broad sense pervades all these methods and is useful for numerical realization and applications of the theory. The book presents generalized solutions to the Cauchy problem in its initial form with white noise processes in spaces of distributions. It also covers the "classical" approach to stochastic problems involving the solution of corresponding integral equations. The first part of the text gives a self-contained introduction to modern semi-group and abstract distribution methods for solving the homogeneous (deterministic) Cauchy problem. In the second part, the author solves stochastic problems using semi-group and distribution methods as well as the methods of infinite-dimensional stochastic analysis.
| Author | : Alexander Stoimenow |
| Publisher | : CRC Press |
| Total Pages | : 129 |
| Release | : 2018-09-03 |
| Genre | : Mathematics |
| ISBN | : 1315359987 |
Download Diagram Genus, Generators, and Applications Book in PDF, ePub and Kindle
In knot theory, diagrams of a given canonical genus can be described by means of a finite number of patterns ("generators"). Diagram Genus, Generators and Applications presents a self-contained account of the canonical genus: the genus of knot diagrams. The author explores recent research on the combinatorial theory of knots and supplies proofs for a number of theorems. The book begins with an introduction to the origin of knot tables and the background details, including diagrams, surfaces, and invariants. It then derives a new description of generators using Hirasawa’s algorithm and extends this description to push the compilation of knot generators one genus further to complete their classification for genus 4. Subsequent chapters cover applications of the genus 4 classification, including the braid index, polynomial invariants, hyperbolic volume, and Vassiliev invariants. The final chapter presents further research related to generators, which helps readers see applications of generators in a broader context.
