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Author : T.A. Springer
Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 705/5 ( reviews)
Book Synopsis Invariant Theory by : T.A. Springer
Download or read book Invariant Theory written by T.A. Springer. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Igor Dolgachev
Release : 2003-08-07
Genre : Mathematics
Kind : eBook
Book Rating : 480/5 ( reviews)
Book Synopsis Lectures on Invariant Theory by : Igor Dolgachev
Download or read book Lectures on Invariant Theory written by Igor Dolgachev. This book was released on 2003-08-07. 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.
Author : Bernd Sturmfels
Release : 2008-06-17
Genre : Mathematics
Kind : eBook
Book Rating : 173/5 ( reviews)
Book Synopsis Algorithms in Invariant Theory by : Bernd Sturmfels
Download or read book Algorithms in Invariant Theory written by Bernd Sturmfels. This book was released on 2008-06-17. Available in PDF, EPUB and Kindle. Book excerpt: This book is both an easy-to-read textbook for invariant theory and a challenging research monograph that introduces a new approach to the algorithmic side of invariant theory. Students will find the book an easy introduction to this "classical and new" area of mathematics. Researchers in mathematics, symbolic computation, and computer science will get access to research ideas, hints for applications, outlines and details of algorithms, examples and problems.
Author : Frank D. Grosshans
Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 172/5 ( reviews)
Book Synopsis Algebraic Homogeneous Spaces and Invariant Theory by : Frank D. Grosshans
Download or read book Algebraic Homogeneous Spaces and Invariant Theory written by Frank D. Grosshans. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Peter J. Olver
Release : 1999-01-13
Genre : Mathematics
Kind : eBook
Book Rating : 211/5 ( reviews)
Book Synopsis Classical Invariant Theory by : Peter J. Olver
Download or read book Classical Invariant Theory written by Peter J. Olver. This book was released on 1999-01-13. Available in PDF, EPUB and Kindle. Book excerpt: The book is a self-contained introduction to the results and methods in classical invariant theory.
