Actions And Invariants Of Algebraic Groups PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Actions And Invariants Of Algebraic Groups PDF full book. Access full book title Actions And Invariants Of Algebraic Groups.
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 | : |
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 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 | : Andrzej Białynicki-Birula |
Publisher | : American Mathematical Soc. |
Total Pages | : 244 |
Release | : 1989 |
Genre | : Mathematics |
ISBN | : 9780821860151 |
Download Group Actions and Invariant Theory Book in PDF, ePub and Kindle
This volume contains the proceedings of a conference, sponsored by the Canadian Mathematical Society, on Group Actions and Invariant Theory, held in August, 1988 in Montreal. The conference was the third in a series bringing together researchers from North America and Europe (particularly Poland). The papers collected here will provide an overview of the state of the art of research in this area. The conference was primarily concerned with the geometric side of invariant theory, including explorations of the linearization problem for reductive group actions on affine spaces (with a counterexample given recently by J. Schwarz), spherical and complete symmetric varieties, reductive quotients, automorphisms of affine varieties, and homogeneous vector bundles.
Author | : A. Bialynicki-Birula |
Publisher | : Springer Science & Business Media |
Total Pages | : 256 |
Release | : 2002-04-24 |
Genre | : Mathematics |
ISBN | : 9783540432111 |
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 | : 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 | : Igor Dolgachev |
Publisher | : Cambridge University Press |
Total Pages | : 244 |
Release | : 2003-08-07 |
Genre | : Mathematics |
ISBN | : 9780521525480 |
Download Lectures on Invariant Theory Book in PDF, ePub and Kindle
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.
Author | : Frank D. Grosshans |
Publisher | : Springer |
Total Pages | : 158 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540696172 |
Download Algebraic Homogeneous Spaces and Invariant Theory Book in PDF, ePub and Kindle
The invariant theory of non-reductive groups has its roots in the 19th century but has seen some very interesting developments in the past twenty years. This book is an exposition of several related topics including observable subgroups, induced modules, maximal unipotent subgroups of reductive groups and the method of U-invariants, and the complexity of an action. Much of this material has not appeared previously in book form. The exposition assumes a basic knowledge of algebraic groups and then develops each topic systematically with applications to invariant theory. Exercises are included as well as many examples, some of which are related to geometry and physics.
Author | : A.N. Parshin |
Publisher | : Springer Science & Business Media |
Total Pages | : 291 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 366203073X |
Download Algebraic Geometry IV Book in PDF, ePub and Kindle
Two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory, by well-known experts in the fields. The book will be very useful as a reference and research guide to graduate students and researchers in mathematics and theoretical physics.
Author | : Shigeru Mukai |
Publisher | : Cambridge University Press |
Total Pages | : 528 |
Release | : 2003-09-08 |
Genre | : Mathematics |
ISBN | : 9780521809061 |
Download An Introduction to Invariants and Moduli Book in PDF, ePub and Kindle
Sample Text