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Author: A. Bialynicki-Birula
Publisher: Springer Science & Business Media
ISBN: 3662050714
Category : Mathematics
Languages : en
Pages : 248
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Book Description
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
ISBN: 3662050714
Category : Mathematics
Languages : en
Pages : 248
Get Book
Book Description
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: Walter Ricardo Ferrer Santos
Publisher: CRC Press
ISBN: 1482239167
Category : Mathematics
Languages : en
Pages : 479
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Book Description
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: Paolo Aluffi
Publisher: Cambridge University Press
ISBN: 1108792510
Category : Mathematics
Languages : en
Pages : 395
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Book Description
Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.
Author: Piotr Pragacz
Publisher: Springer Science & Business Media
ISBN: 9783764385378
Category : Mathematics
Languages : en
Pages : 236
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Book Description
Articles examine the contributions of the great mathematician J. M. Hoene-Wronski. Although much of his work was dismissed during his lifetime, it is now recognized that his work offers valuable insight into the nature of mathematics. The book begins with elementary-level discussions and ends with discussions of current research. Most of the material has never been published before, offering fresh perspectives on Hoene-Wronski’s contributions.
Author: Ivan Arzhantsev
Publisher: Cambridge University Press
ISBN: 1107024625
Category : Mathematics
Languages : en
Pages : 539
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Book Description
This book provides a largely self-contained introduction to Cox rings and their applications in algebraic and arithmetic geometry.
Author: Walter Ferrer Santos
Publisher: CRC Press
ISBN: 1420030795
Category : Mathematics
Languages : en
Pages : 472
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Book Description
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:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 786
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Book Description
Author: V. B. Mehta
Publisher: Alpha Science International, Limited
ISBN:
Category : Mathematics
Languages : en
Pages : 564
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Book Description
The area of algebraic groups and homogeneous spaces is one in which major advances have been made in recent decades. This was the theme of the (twelfth) International Colloquium organized by the Tata Institute of Fundamental Research in January 2004, and this volume constitutes the proceedings of that meeting. This volume contains articles by several leading experts in central topics in the area, including representation theory, flag varieties, Schubert varieties, vector bundles, loop groups and Kac-Moody Lie algebras, Galois cohomology of algebraic groups, and Tannakian categories. In addition to the original papers in these areas, the volume includes a survey on representation theory in characteristic $p$ by H. Andersen and an article by T. A. Springer on Armand Borel's work in algebraic groups and Lie groups.
Author: New Zealand Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 300
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Book Description
Author: Arthur James Wells
Publisher:
ISBN:
Category : Bibliography, National
Languages : en
Pages : 1896
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Book Description
