Loop Group
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Loop Group
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Author : Larry McMurtry
language : en
Publisher: Simon and Schuster
Release Date : 2010-06-01
Loop Group written by Larry McMurtry and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-01 with Fiction categories.
Loop Group is Larry McMurtry at his contemporary best, a novel that can best be described as Thelma and Louise meets Terms of Endearment, in which two aging ladies set out on a road trip that will take them from Hollywood to Texas, with many adventures on the way. In perhaps his finest contemporary novel since Terms of Endearment, Larry McMurtry, with his miraculously sure touch at creating instantly recognizable women characters and his equally miraculous sharp eye for the absurdities of everyday life in the modern West, writes about two women, old friends, who set off on an adventure—with unpredictable and sometimes hilarious results. As Loop Group opens, we meet Maggie, whose three grown-up daughters have arrived at her Hollywood home to try and make her see sense about her busy life, a life that intersects with lots of interesting—all right, bizarre—people. Her daughters push her into having a few second thoughts about it, and these are reinforced when her best friend, Connie, seeks an escape from her own world of complex and difficult relationships with men. Maggie conceives the idea of driving to visit her Aunt Cooney’s ranch near Electric City, Texas, and the two women prepare for the trip by buying a .38 Special revolver (which leads to unexpected trouble along the way). This road trip will end by changing their lives. Alternately hilariously funny and profoundly sad—even tragic—Loop Group is a major Larry McMurtry novel and a joy to read.
Langlands Correspondence For Loop Groups
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Author : Edward Frenkel
language : en
Publisher: Cambridge University Press
Release Date : 2007-06-28
Langlands Correspondence For Loop Groups written by Edward Frenkel 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 2007-06-28 with Mathematics categories.
The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.
Harmonic Maps Loop Groups And Integrable Systems
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Author : Martin A. Guest
language : en
Publisher: Cambridge University Press
Release Date : 1997-01-13
Harmonic Maps Loop Groups And Integrable Systems written by Martin A. Guest 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 1997-01-13 with Mathematics categories.
University-level introduction that leads to topics of current research in the theory of harmonic maps.
Loop Groups Discrete Versions Of Some Classical Integrable Systems And Rank 2 Extensions
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Author : Percy Deift
language : en
Publisher: American Mathematical Soc.
Release Date : 1992
Loop Groups Discrete Versions Of Some Classical Integrable Systems And Rank 2 Extensions written by Percy Deift 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 1992 with Mathematics categories.
The theory of classical $R$-matrices provides a unified approach to the understanding of most, if not all, known integrable systems. This work, which is suitable as a graduate textbook in the modern theory of integrable systems, presents an exposition of $R$-matrix theory by means of examples, some old, some new. In particular, the authors construct continuous versions of a variety of discrete systems of the type introduced recently by Moser and Vesclov. In the framework the authors establish, these discrete systems appear as time-one maps of integrable Hamiltonian flows on co-adjoint orbits of appropriate loop groups, which are in turn constructed from more primitive loop groups by means of classical $R$-matrix theory. Examples include the discrete Euler-Arnold top and the billiard ball problem in an elliptical region in $n$ dimensions. Earlier results of Moser on rank 2 extensions of a fixed matrix can be incorporated into this framework, which implies in particular that many well-known integrable systems--such as the Neumann system, periodic Toda, geodesic flow on an ellipsoid, etc.--can also be analyzed by this method.
Loops In Group Theory And Lie Theory
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Author : Péter Nagy
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-24
Loops In Group Theory And Lie Theory written by Péter Nagy and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-24 with Mathematics categories.
In this book the theory of binary systems is considered as a part of group theory and, in particular, within the framework of Lie groups. The novelty is the consequent treatment of topological and differentiable loops as topological and differentiable sections in Lie groups. The interplay of methods and tools from group theory, differential geometry and topology, symmetric spaces, topological geometry, and the theory of foliations is what gives a special flavour to the results presented in this book. It is the first monograph devoted to the study of global loops. So far books on differentiable loops deal with local loops only. This theory can only be used partially for the theory of global loops since non-associative local structures have, in general, no global forms. The text is addressed to researchers in non-associative algebra and foundations of geometry. It should prove enlightening to a broad range of readers, including mathematicians working in group theory, the theory of Lie groups, in differential and topological geometry, and in algebraic groups. The authors have produced a text that is suitable not only for a graduate course, but also for selfstudy in the subjectby interested graduate students. Moreover, the material presented can be used for lectures and seminars in algebra, topological algebra and geometry.
Loop Spaces Characteristic Classes And Geometric Quantization
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Author : Jean-Luc Brylinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-30
Loop Spaces Characteristic Classes And Geometric Quantization written by Jean-Luc Brylinski 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 2009-12-30 with Mathematics categories.
This book examines the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics. Applications presented in the book involve anomaly line bundles on loop spaces and anomaly functionals, central extensions of loop groups, Kähler geometry of the space of knots, and Cheeger--Chern--Simons secondary characteristics classes. It also covers the Dirac monopole and Dirac’s quantization of the electrical charge.
The Loop
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Author : Jacob Ward
language : en
Publisher: Hachette UK
Release Date : 2022-01-25
The Loop written by Jacob Ward and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-25 with Computers categories.
This eye-opening narrative journey into the rapidly changing world of artificial intelligence reveals the dangerous ways AI is exploiting the unconscious habits of our minds, and the real threat it poses to humanity: "The best book I have ever read about AI" (New York Times bestselling author Roger McNamee). Artificial intelligence is going to change the world as we know it. But the real danger isn't some robot that's going to enslave us: It's our own brain. Our brains are constantly making decisions using shortcuts, biases, and hidden processes—and we're using those same techniques to create technology that makes choices for us. In The Loop, award-winning science journalist Jacob Ward reveals how we are poised to build all of our worst instincts into our AIs, creating a narrow loop where each generation has fewer, predetermined, and even dangerous choices. Taking us on a world tour of the ongoing, real-world experiment of artificial intelligence, The Loop illuminates the dangers of writing dangerous human habits into our machines. From a biometric surveillance state in India that tracks the movements of over a billion people, to a social media control system in China that punishes deviant friendships, to the risky multiple-choice simplicity of automated military action, Ward travels the world speaking with top experts confronting the perils of their research. Each stop reveals how the most obvious patterns in our behavior—patterns an algorithm will use to make decisions about what's best for us—are not the ones we want to perpetuate. Just as politics, marketing, and finance have all exploited the weaknesses of our human programming, artificial intelligence is poised to use the patterns of our lives to manipulate us. The Loop is call to look at ourselves more clearly—our most creative ideas, our most destructive impulses, the ways we help and hurt one another-so we can put only the best parts of ourselves into the thinking machines we create.
Magnetic Monopoles And The Loop Group
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Author : Paul Timothy Norbury
language : en
Publisher:
Release Date : 1994
Magnetic Monopoles And The Loop Group written by Paul Timothy Norbury and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
Quasigroups And Loops
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Author : Orin Chein
language : en
Publisher:
Release Date : 1990
Quasigroups And Loops written by Orin Chein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Loops (Group theory). categories.
Alternative Loop Rings
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Author : E.G. Goodaire
language : en
Publisher: Elsevier
Release Date : 1996-10-24
Alternative Loop Rings written by E.G. Goodaire and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10-24 with Mathematics categories.
For the past ten years, alternative loop rings have intrigued mathematicians from a wide cross-section of modern algebra. As a consequence, the theory of alternative loop rings has grown tremendously. One of the main developments is the complete characterization of loops which have an alternative but not associative, loop ring. Furthermore, there is a very close relationship between the algebraic structures of loop rings and of group rings over 2-groups. Another major topic of research is the study of the unit loop of the integral loop ring. Here the interaction between loop rings and group rings is of immense interest. This is the first survey of the theory of alternative loop rings and related issues. Due to the strong interaction between loop rings and certain group rings, many results on group rings have been included, some of which are published for the first time. The authors often provide a new viewpoint and novel, elementary proofs in cases where results are already known. The authors assume only that the reader is familiar with basic ring-theoretic and group-theoretic concepts. They present a work which is very much self-contained. It is thus a valuable reference to the student as well as the research mathematician. An extensive bibliography of references which are either directly relevant to the text or which offer supplementary material of interest, are also included.