Group Actions And Invariant Theory
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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 | : Susan Montgomery |
Publisher | : American Mathematical Soc. |
Total Pages | : 290 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : 0821850466 |
Download Group Actions on Rings Book in PDF, Epub and Kindle
Ring theorists and researchers in invariant theory and operator algebra met at Bowdoin for the 1984 AMS-IMS-SIAM Joint Summer Research Conference to exchange ideas about group actions on rings. This work discusses topics common to the three fields, including: $K$-theory, dual actions, semi-invariants and crossed products.
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 | : 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 | : |
Publisher | : American Mathematical Soc. |
Total Pages | : 228 |
Release | : 1989 |
Genre | : |
ISBN | : 9780821860151 |
Download Group actions and invariant theory Book in PDF, Epub and Kindle
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 | : 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
Author | : David Mumford |
Publisher | : Springer |
Total Pages | : 248 |
Release | : 1982 |
Genre | : Mathematics |
ISBN | : |
Download Geometric Invariant Theory Book in PDF, Epub and Kindle
This standard reference on applications of invariant theory to the construction of moduli spaces is a systematic exposition of the geometric aspects of classical theory of polynomial invariants. This new, revised edition is completely updated and enlarged with an additional chapter on the moment map by Professor Frances Kirwan. It includes a fully updated bibliography of work in this area.
Author | : Bernd Sturmfels |
Publisher | : Springer Science & Business Media |
Total Pages | : 202 |
Release | : 2008-06-17 |
Genre | : Mathematics |
ISBN | : 3211774173 |
Download Algorithms in Invariant Theory Book in PDF, Epub and Kindle
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 | : Richard Kane |
Publisher | : Springer Science & Business Media |
Total Pages | : 382 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 1475735421 |
Download Reflection Groups and Invariant Theory Book in PDF, Epub and Kindle
Reflection groups and invariant theory is a branch of mathematics that lies at the intersection between geometry and algebra. The book contains a deep and elegant theory, evolved from various graduate courses given by the author over the past 10 years.