Actions and Invariants of Algebraic Groups, Second Edition

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Author :
Release : 2017
Genre : Affine algebraic groups
Kind :
Book Rating : 736/5 ( reviews)

Actions and Invariants of Algebraic Groups, Second Edition - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Actions and Invariants of Algebraic Groups, Second Edition write by Walter Ricardo Ferrer Santos. This book was released on 2017. Actions and Invariants of Algebraic Groups, Second Edition available 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.

Actions and Invariants of Algebraic Groups

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Author :
Release : 2017-09-19
Genre : Mathematics
Kind :
Book Rating : 777/5 ( reviews)

Actions and Invariants of Algebraic Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Actions and Invariants of Algebraic Groups write by Walter Ricardo Ferrer Santos. This book was released on 2017-09-19. Actions and Invariants of Algebraic Groups available 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.

Actions and Invariants of Algebraic Groups

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Author :
Release : 2005-04-26
Genre : Mathematics
Kind :
Book Rating : 795/5 ( reviews)

Actions and Invariants of Algebraic Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Actions and Invariants of Algebraic Groups write by Walter Ferrer Santos. This book was released on 2005-04-26. Actions and Invariants of Algebraic Groups available 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

Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action

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Release : 2013-03-09
Genre : Mathematics
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Book Rating : 714/5 ( reviews)

Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action write by A. Bialynicki-Birula. This book was released on 2013-03-09. Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action available 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.

Geometric Invariant Theory

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Author :
Release : 1982
Genre : Mathematics
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Book Rating : /5 ( reviews)

Geometric Invariant Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Invariant Theory write by David Mumford. This book was released on 1982. Geometric Invariant Theory available 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.