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Classical Invariant Theory

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Release : 1999-01-13
Genre : Mathematics
Kind : eBook
Book Rating : 211/5 ( reviews)

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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.

Lectures on Invariant Theory

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Release : 2003-08-07
Genre : Mathematics
Kind : eBook
Book Rating : 480/5 ( reviews)

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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.

Representations and Invariants of the Classical Groups

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Release : 2000-01-13
Genre : Mathematics
Kind : eBook
Book Rating : 489/5 ( reviews)

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Book Synopsis Representations and Invariants of the Classical Groups by : Roe Goodman

Download or read book Representations and Invariants of the Classical Groups written by Roe Goodman. This book was released on 2000-01-13. Available in PDF, EPUB and Kindle. Book excerpt: More than half a century has passed since Weyl's 'The Classical Groups' gave a unified picture of invariant theory. This book presents an updated version of this theory together with many of the important recent developments. As a text for those new to the area, this book provides an introduction to the structure and finite-dimensional representation theory of the complex classical groups that requires only an abstract algebra course as a prerequisite. The more advanced reader will find an introduction to the structure and representations of complex reductive algebraic groups and their compact real forms. This book will also serve as a reference for the main results on tensor and polynomial invariants and the finite-dimensional representation theory of the classical groups. It will appeal to researchers in mathematics, statistics, physics and chemistry whose work involves symmetry groups, representation theory, invariant theory and algebraic group theory.

Standard Monomial Theory

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Release : 2007-12-23
Genre : Mathematics
Kind : eBook
Book Rating : 576/5 ( reviews)

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Book Synopsis Standard Monomial Theory by : V. Lakshmibai

Download or read book Standard Monomial Theory written by V. Lakshmibai. This book was released on 2007-12-23. Available in PDF, EPUB and Kindle. Book excerpt: Schubert varieties provide an inductive tool for studying flag varieties. This book is mainly a detailed account of a particularly interesting instance of their occurrence: namely, in relation to classical invariant theory. More precisely, it is about the connection between the first and second fundamental theorems of classical invariant theory on the one hand and standard monomial theory for Schubert varieties in certain special flag varieties on the other.

An Introduction to Invariants and Moduli

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Release : 2003-09-08
Genre : Mathematics
Kind : eBook
Book Rating : 061/5 ( reviews)

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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. This book was released on 2003-09-08. Available in PDF, EPUB and Kindle. Book excerpt: Sample Text

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