Algebraic Quotients Torus Actions And Cohomology The Adjoint Representation And The Adjoint Action


Algebraic Quotients Torus Actions And Cohomology The Adjoint Representation And The Adjoint Action
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Algebraic Quotients Torus Actions And Cohomology The Adjoint Representation And The Adjoint Action


Algebraic Quotients Torus Actions And Cohomology The Adjoint Representation And The Adjoint Action
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Author : A. Bialynicki-Birula
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Algebraic Quotients Torus Actions And Cohomology The Adjoint Representation And The Adjoint Action written by A. Bialynicki-Birula and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.


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.



Actions And Invariants Of Algebraic Groups


Actions And Invariants Of Algebraic Groups
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Author : Walter Ricardo Ferrer Santos
language : en
Publisher: CRC Press
Release Date : 2017-09-19

Actions And Invariants Of Algebraic Groups written by Walter Ricardo Ferrer Santos and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-19 with Mathematics categories.


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


Actions And Invariants Of Algebraic Groups
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Author : Walter Ferrer Santos
language : en
Publisher: CRC Press
Release Date : 2005-04-26

Actions And Invariants Of Algebraic Groups written by Walter Ferrer Santos and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-26 with Mathematics categories.


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



Facets Of Algebraic Geometry


Facets Of Algebraic Geometry
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Author : Paolo Aluffi
language : en
Publisher: Cambridge University Press
Release Date : 2022-04-07

Facets Of Algebraic Geometry written by Paolo Aluffi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-07 with Mathematics categories.


Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.



Algebraic Cycles Sheaves Shtukas And Moduli


Algebraic Cycles Sheaves Shtukas And Moduli
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Author : Piotr Pragacz
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-12

Algebraic Cycles Sheaves Shtukas And Moduli written by Piotr Pragacz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-12 with Mathematics categories.


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.



Cox Rings


Cox Rings
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Author : Ivan Arzhantsev
language : en
Publisher: Cambridge University Press
Release Date : 2015

Cox Rings written by Ivan Arzhantsev and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Mathematics categories.


This book provides a largely self-contained introduction to Cox rings and their applications in algebraic and arithmetic geometry.



Proceedings Of The International Colloquium On Algebraic Groups And Homogeneous Spaces


Proceedings Of The International Colloquium On Algebraic Groups And Homogeneous Spaces
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Author : V. B. Mehta
language : en
Publisher: Alpha Science International, Limited
Release Date : 2007

Proceedings Of The International Colloquium On Algebraic Groups And Homogeneous Spaces written by V. B. Mehta and has been published by Alpha Science International, Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.


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.



Mathematical Reviews


Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2003

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.




The British National Bibliography


The British National Bibliography
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Author : Arthur James Wells
language : en
Publisher:
Release Date : 2002

The British National Bibliography written by Arthur James Wells and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Bibliography, National categories.




Representations Of Algebraic Groups


Representations Of Algebraic Groups
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Author : Jens Carsten Jantzen
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

Representations Of Algebraic Groups written by Jens Carsten Jantzen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Linear algebraic groups categories.


Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.