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Algebraic Transformation Groups And Algebraic Varieties


Algebraic Transformation Groups And Algebraic Varieties
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Algebraic Transformation Groups And Algebraic Varieties


Algebraic Transformation Groups And Algebraic Varieties
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Author : Vladimir Leonidovich Popov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Algebraic Transformation Groups And Algebraic Varieties written by Vladimir Leonidovich Popov 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 2013-06-29 with Mathematics categories.


The book covers topics in the theory of algebraic transformation groups and algebraic varieties which are very much at the frontier of mathematical research.



Algebraic Transformation Groups And Algebraic Varieties


Algebraic Transformation Groups And Algebraic Varieties
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Author : Vladimir L. Popov
language : en
Publisher:
Release Date : 2004

Algebraic Transformation Groups And Algebraic Varieties written by Vladimir L. Popov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.




Algebraic Transformation Groups And Algebraic Varieties


Algebraic Transformation Groups And Algebraic Varieties
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Author : Vladimir Leonidovich Popov
language : en
Publisher: Springer
Release Date : 2014-01-15

Algebraic Transformation Groups And Algebraic Varieties written by Vladimir Leonidovich Popov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Topological Methods In Algebraic Transformation Groups


Topological Methods In Algebraic Transformation Groups
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Author : Kraft
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Topological Methods In Algebraic Transformation Groups written by Kraft 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 2012-12-06 with Mathematics categories.


In recent years, there has been increasing interest and activity in the area of group actions on affine and projective algebraic varieties. Tech niques from various branches of mathematics have been important for this study, especially those coming from the well-developed theory of smooth compact transformation groups. It was timely to have an interdisciplinary meeting on these topics. We organized the conference "Topological Methods in Alg~braic Transformation Groups," which was held at Rutgers University, 4-8 April, 1988. Our aim was to facilitate an exchange of ideas and techniques among mathematicians studying compact smooth transformation groups, alge braic transformation groups and related issues in algebraic and analytic geometry. The meeting was well attended, and these Proceedings offer a larger audience the opportunity to benefit from the excellent survey and specialized talks presented. The main topics concerned various as pects of group actions, algebraic quotients, homogeneous spaces and their compactifications. The meeting was made possible by support from Rutgers University and the National Science Foundation. We express our deep appreciation for this support. We also thank Annette Neuen for her assistance with the technical preparation of these Proceedings.



Lie Groups And Invariant Theory


Lie Groups And Invariant Theory
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Author : Ėrnest Borisovich Vinberg
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Lie Groups And Invariant Theory written by Ėrnest Borisovich Vinberg 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 2005 with Computers categories.


This volume, devoted to the 70th birthday of A. L. Onishchik, contains a collection of articles by participants in the Moscow Seminar on Lie Groups and Invariant Theory headed by E. B. Vinberg and A. L. Onishchik. The book is suitable for graduate students and researchers interested in Lie groups and related topics.



The Art Of Doing Algebraic Geometry


The Art Of Doing Algebraic Geometry
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Author : Thomas Dedieu
language : en
Publisher: Springer Nature
Release Date : 2023-04-14

The Art Of Doing Algebraic Geometry written by Thomas Dedieu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-14 with Mathematics categories.


This volume is dedicated to Ciro Ciliberto on the occasion of his 70th birthday and contains refereed papers, offering an overview of important parts of current research in algebraic geometry and related research in the history of mathematics. It presents original research as well as surveys, both providing a valuable overview of the current state of the art of the covered topics and reflecting the versatility of the scientific interests of Ciro Ciliberto.



Lie Algebras And Algebraic Groups


Lie Algebras And Algebraic Groups
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Author : Patrice Tauvel
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-08

Lie Algebras And Algebraic Groups written by Patrice Tauvel 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 2005-08-08 with Mathematics categories.


Devoted to the theory of Lie algebras and algebraic groups, this book includes a large amount of commutative algebra and algebraic geometry so as to make it as self-contained as possible. The aim of the book is to assemble in a single volume the algebraic aspects of the theory, so as to present the foundations of the theory in characteristic zero. Detailed proofs are included, and some recent results are discussed in the final chapters.



Real Algebraic Geometry And Topology


Real Algebraic Geometry And Topology
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Author : Selman Akbulut
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

Real Algebraic Geometry And Topology written by Selman Akbulut 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 1995 with Mathematics categories.


This book contains the proceedings of the Real Algebraic Geometry-Topology Conference, held at Michigan State University in December 1993. Presented here are recent results and discussions of new ideas pertaining to such topics as resolution theorems, algebraic structures, topology of nonsingular real algebraic sets, and the distribution of real algebraic sets in projective space.



Unramified Brauer Group And Its Applications


Unramified Brauer Group And Its Applications
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Author : Sergey Gorchinskiy
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-09-10

Unramified Brauer Group And Its Applications written by Sergey Gorchinskiy 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 2018-09-10 with Mathematics categories.


This book is devoted to arithmetic geometry with special attention given to the unramified Brauer group of algebraic varieties and its most striking applications in birational and Diophantine geometry. The topics include Galois cohomology, Brauer groups, obstructions to stable rationality, Weil restriction of scalars, algebraic tori, the Hasse principle, Brauer-Manin obstruction, and étale cohomology. The book contains a detailed presentation of an example of a stably rational but not rational variety, which is presented as series of exercises with detailed hints. This approach is aimed to help the reader understand crucial ideas without being lost in technical details. The reader will end up with a good working knowledge of the Brauer group and its important geometric applications, including the construction of unirational but not stably rational algebraic varieties, a subject which has become fashionable again in connection with the recent breakthroughs by a number of mathematicians.



Group Theory


Group Theory
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Author : Predrag Cvitanović
language : en
Publisher: Princeton University Press
Release Date : 2020-05-26

Group Theory written by Predrag Cvitanović and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-26 with Mathematics categories.


If classical Lie groups preserve bilinear vector norms, what Lie groups preserve trilinear, quadrilinear, and higher order invariants? Answering this question from a fresh and original perspective, Predrag Cvitanovic takes the reader on the amazing, four-thousand-diagram journey through the theory of Lie groups. This book is the first to systematically develop, explain, and apply diagrammatic projection operators to construct all semi-simple Lie algebras, both classical and exceptional. The invariant tensors are presented in a somewhat unconventional, but in recent years widely used, "birdtracks" notation inspired by the Feynman diagrams of quantum field theory. Notably, invariant tensor diagrams replace algebraic reasoning in carrying out all group-theoretic computations. The diagrammatic approach is particularly effective in evaluating complicated coefficients and group weights, and revealing symmetries hidden by conventional algebraic or index notations. The book covers most topics needed in applications from this new perspective: permutations, Young projection operators, spinorial representations, Casimir operators, and Dynkin indices. Beyond this well-traveled territory, more exotic vistas open up, such as "negative dimensional" relations between various groups and their representations. The most intriguing result of classifying primitive invariants is the emergence of all exceptional Lie groups in a single family, and the attendant pattern of exceptional and classical Lie groups, the so-called Magic Triangle. Written in a lively and personable style, the book is aimed at researchers and graduate students in theoretical physics and mathematics.