W Symmetry
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W Symmetry
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Author : P. Bouwknegt
language : en
Publisher: World Scientific
Release Date : 1995
W Symmetry written by P. Bouwknegt and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.
W-symmetry is an extension of conformal symmetry in two dimensions. Since its introduction in 1985, W-symmetry has become one of the central notions in the study of two-dimensional conformal field theory. The mathematical structures that underlie W-symmetry are so-called W-algebras, which are higher-spin extensions of the Virasoro algebra. This book contains a collection of papers on W-symmetry, covering the period from 1985 through 1993. Its main focus is the construction of W-algebras and their representation theory. A recurrent theme is the intimate connection between W-algebras and affine Lie algebras. Some of the applications, in particular W-gravity, are also covered.The significance of this reprint volume is that there are no textbooks entirely devoted to the subject.
W Symmetry
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Author : P Bouwknegt
language : en
Publisher: World Scientific
Release Date : 1995-01-10
W Symmetry written by P Bouwknegt and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-10 with Science categories.
W-symmetry is an extension of conformal symmetry in two dimensions. Since its introduction in 1985, W-symmetry has become one of the central notions in the study of two-dimensional conformal field theory. The mathematical structures that underlie W-symmetry are so-called W-algebras, which are higher-spin extensions of the Virasoro algebra. This book contains a collection of papers on W-symmetry, covering the period from 1985 through 1993. Its main focus is the construction of W-algebras and their representation theory. A recurrent theme is the intimate connection between W-algebras and affine Lie algebras. Some of the applications, in particular W-gravity, are also covered. The significance of this reprint volume is that there are no textbooks entirely devoted to the subject. Contents:History and BackgroundClassical W-Algebras and Their Connection to Toda Field TheoriesQuantum W-AlgebrasQuantum Drinfel'd-Sokolov ReductionCoset ConstructionsW∞ Type AlgebrasW-Gravity and W-Strings Readership: Students and researchers in the field of conformal field theory. keywords:Conformal Symmetry;Conformal Field Theory;Virasoro Algebra;Extended Symmetry;W-Symmetry;W-Algebra;W-String;Drinfeld-Sokolov Reduction;Toda Theory;Coset Construction “The researcher who wants to get acquainted with W-symmetry now has a good selection of important papers at a low cost at his/her disposal … Experts may be more interested in some of the less widely available background papers, and the (updated) reference list.” Journal of Classical and Quantum Gravity
W Symmetry In Conformal Field Theory
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Author : P. Bouwknegt
language : en
Publisher:
Release Date : 1993
W Symmetry In Conformal Field Theory written by P. Bouwknegt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Conformal invariants categories.
New Symmetry Principles In Quantum Field Theory
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Author : J. Frölich
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
New Symmetry Principles In Quantum Field Theory written by J. Frölich 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 Science categories.
Soon after the discovery of quantum mechanics, group theoretical methods were used extensively in order to exploit rotational symmetry and classify atomic spectra. And until recently it was thought that symmetries in quantum mechanics should be groups. But it is not so. There are more general algebras, equipped with suitable structure, which admit a perfectly conventional interpretation as a symmetry of a quantum mechanical system. In any case, a "trivial representation" of the algebra is defined, and a tensor product of representations. But in contrast with groups, this tensor product needs to be neither commutative nor associative. Quantum groups are special cases, in which associativity is preserved. The exploitation of such "Quantum Symmetries" was a central theme at the Ad vanced Study Institute. Introductory lectures were presented to familiarize the participants with the al gebras which can appear as symmetries and with their properties. Some models of local field theories were discussed in detail which have some such symmetries, in par ticular conformal field theories and their perturbations. Lattice models provide many examples of quantum theories with quantum symmetries. They were also covered at the school. Finally, the symmetries which are the cause of the solubility of inte grable models are also quantum symmetries of this kind. Some such models and their nonlocal conserved currents were discussed.
Symmetry Representation Theory And Its Applications
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Author : Roger Howe
language : en
Publisher: Springer
Release Date : 2015-01-04
Symmetry Representation Theory And Its Applications written by Roger Howe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-04 with Mathematics categories.
Nolan Wallach's mathematical research is remarkable in both its breadth and depth. His contributions to many fields include representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannian geometry, ring theory, and quantum information theory. The touchstone and unifying thread running through all his work is the idea of symmetry. This volume is a collection of invited articles that pay tribute to Wallach's ideas, and show symmetry at work in a large variety of areas. The articles, predominantly expository, are written by distinguished mathematicians and contain sufficient preliminary material to reach the widest possible audiences. Graduate students, mathematicians, and physicists interested in representation theory and its applications will find many gems in this volume that have not appeared in print elsewhere. Contributors: D. Barbasch, K. Baur, O. Bucicovschi, B. Casselman, D. Ciubotaru, M. Colarusso, P. Delorme, T. Enright, W.T. Gan, A Garsia, G. Gour, B. Gross, J. Haglund, G. Han, P. Harris, J. Hong, R. Howe, M. Hunziker, B. Kostant, H. Kraft, D. Meyer, R. Miatello, L. Ni, G. Schwarz, L. Small, D. Vogan, N. Wallach, J. Wolf, G. Xin, O. Yacobi.
Symmetry And Structural Properties Of Condensed Matter Proceedings Of The Sixth S International School Of Theoretical Physics
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Author : Tadeusz Lulek
language : en
Publisher: World Scientific
Release Date : 2001-05-31
Symmetry And Structural Properties Of Condensed Matter Proceedings Of The Sixth S International School Of Theoretical Physics written by Tadeusz Lulek and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-31 with Science categories.
This volume continues the series of proceedings of summer schools on theoretical physics related to various aspects of the structure of condensed matter, and to appropriate mathematical methods for an adequate description. Three main topics are covered: (i) symmetric and unitary groups versus electron correlations in multicentre systems; (ii) conformal symmetries, the Bethe ansatz and quantum groups; (iii) paradoxes of statistics, space-time, and time quantum mechanics. Problems considered in previous schools are merged with some new developments, like statistics with continuous Young diagrams, the existence and structure of energy bands in solids with fullerenes, membranes and some coverings of graphite sheets, or vortex condensates with quantum counterparts of Maxwell lows.
Symmetry Groups And Their Applications
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Author :
language : en
Publisher: Academic Press
Release Date : 1973-03-02
Symmetry Groups And Their Applications written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-03-02 with Mathematics categories.
Symmetry Groups and Their Applications
Symmetry As A Developmental Principle In Nature And Art
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Author : Werner Hahn
language : en
Publisher: World Scientific
Release Date : 1998
Symmetry As A Developmental Principle In Nature And Art written by Werner Hahn and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Looking beyond the boundaries of various disciplines, the author demonstrates that symmetry is a fascinating phenomenon which provides endless stimulation and challenges. He explains that it is possible to readapt art to the sciences, and vice versa, by means of an evolutionary concept of symmetry. Many pictorial examples are included to enable the reader to fully understand the issues discussed. Based on the artistic evidence that the author has collected, he proposes that the new ars evolutoria can function as an example for the sciences.The book is divided into three distinct parts, each one focusing on a special issue. In Part I, the phenomenon of symmetry, including its discovery and meaning is reviewed. The author looks closely at how Vitruvius, Polyclitus, Democritus, Plato, Aristotle, Plotinus, Augustine, Alberti, Leonardo da Vinci and Durer viewed symmetry. This is followed by an explanation on how the concept of symmetry developed. The author further discusses symmetry as it appears in art and science, as well as in the modern age. Later, he expounds the view of symmetry as an evolutionary concept which can lead to a new unity of science. In Part II, he covers the points of contact between the form-developing process in nature and art. He deals with biological questions, in particular evolution.The collection of new and precise data on perception and knowledge with regard to the postulated reality of symmetry leads to further development of the evolutionary theory of symmetry in Part III. The author traces the enormous treasure of observations made in nature and culture back to a few underlying structural principles. He demonstrates symmetry as a far-reaching, leading, structuring, causal element of evolution, as the idea lying behind nature and culture. Numerous controllable reproducible double-mirror experiments on a new stereoscopic vision verify a symmetrization theory of perception.
Geometry And Symmetry
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Author : Paul B. Yale
language : en
Publisher: Courier Corporation
Release Date : 2014-05-05
Geometry And Symmetry written by Paul B. Yale and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-05 with Mathematics categories.
DIVIntroduction to the geometry of euclidean, affine and projective spaces with special emphasis on the important groups of symmetries of these spaces. Many exercises, extensive bibliography. Advanced undergraduate level. /div
Groups And Symmetry
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Author : Bijan Davvaz
language : en
Publisher: Springer Nature
Release Date : 2021-11-17
Groups And Symmetry written by Bijan Davvaz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-17 with Mathematics categories.
This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. This is the second book of the set of two books on groups theory. Topics on linear transformation and linear groups, group actions on sets, Sylow’s theorem, simple groups, products of groups, normal series, free groups, platonic solids, Frieze and wallpaper symmetry groups and characters of groups have been discussed in depth. Covering all major topics, this book is targeted to advanced undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.