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Affine Lie Algebras Weight Multiplicities And Branching Rules
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Book Synopsis Affine Lie Algebras, Weight Multiplicities, and Branching Rules by : Sam Kass
Download or read book Affine Lie Algebras, Weight Multiplicities, and Branching Rules written by Sam Kass and published by Univ of California Press. This book was released on 1990-01-01 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 00 This practical treatise is an introduction to the mathematics and physics of affine Kac-Moody algebras. It is the result of an unusual interdisciplinary effort by two physicists and two mathematicians to make this field understandable to a broad readership and to illuminate the connections among seemingly disparate domains of mathematics and physics that are tantalizingly suggested by the ubiquity of Lie theory. The book will be useful to Lie algebraists, high energy physicists, statistical mechanics, and number theorists. Volume One contains a description of Kac-Moody Lie algebras, and especially the affine algebras and their representations; the results of extensive computations follow in Volume Two, which is spiral bound for easy reference. This practical treatise is an introduction to the mathematics and physics of affine Kac-Moody algebras. It is the result of an unusual interdisciplinary effort by two physicists and two mathematicians to make this field understandable to a broad readership and to illuminate the connections among seemingly disparate domains of mathematics and physics that are tantalizingly suggested by the ubiquity of Lie theory. The book will be useful to Lie algebraists, high energy physicists, statistical mechanics, and number theorists. Volume One contains a description of Kac-Moody Lie algebras, and especially the affine algebras and their representations; the results of extensive computations follow in Volume Two, which is spiral bound for easy reference.
Book Synopsis Affine Lie Algebras, Weight Multiplicities, and Branching Rules by :
Download or read book Affine Lie Algebras, Weight Multiplicities, and Branching Rules written by and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Weight Multiplicities and Young Tableaux Through Affine Crystals by : Jang Soo Kim
Download or read book Weight Multiplicities and Young Tableaux Through Affine Crystals written by Jang Soo Kim and published by American Mathematical Society. This book was released on 2023-03-09 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Algebraic Methods in Physics by : Yvan Saint-Aubin
Download or read book Algebraic Methods in Physics written by Yvan Saint-Aubin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book pays tribute to two pioneers in the field of Mathematical physics, Jiri Patera and Pavel Winternitz of the CRM. Each has contributed more than forty years to the subject of mathematical physics, particularly to the study of algebraic methods.
Book Synopsis Affine Lie Algebras and Quantum Groups by : Jürgen Fuchs
Download or read book Affine Lie Algebras and Quantum Groups written by Jürgen Fuchs and published by Cambridge University Press. This book was released on 1995-03-09 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to the theory of affine Lie Algebras, to the theory of quantum groups, and to the interrelationships between these two fields that are encountered in conformal field theory.
Book Synopsis Recent Developments in Quantum Affine Algebras and Related Topics by : Naihuan Jing
Download or read book Recent Developments in Quantum Affine Algebras and Related Topics written by Naihuan Jing and published by American Mathematical Soc.. This book was released on 1999 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reflects the proceedings of the International Conference on Representations of Affine and Quantum Affine Algebras and Their Applications held at North Carolina State University (Raleigh). In recent years, the theory of affine and quantum affine Lie algebras has become an important area of mathematical research with numerous applications in other areas of mathematics and physics. Three areas of recent progress are the focus of this volume: affine and quantum affine algebras and their generalizations, vertex operator algebras and their representations, and applications in combinatorics and statistical mechanics. Talks given by leading international experts at the conference offered both overviews on the subjects and current research results. The book nicely presents the interplay of these topics recently occupying "centre stage" in the theory of infinite dimensional Lie theory.
Book Synopsis Symmetries, Lie Algebras and Representations by : Jürgen Fuchs
Download or read book Symmetries, Lie Algebras and Representations written by Jürgen Fuchs and published by Cambridge University Press. This book was released on 2003-10-07 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to Lie algebras and their representations. Lie algebras have many applications in mathematics and physics, and any physicist or applied mathematician must nowadays be well acquainted with them.
Book Synopsis Planar Algebras in Braided Tensor Categories by : André Gil Henriques
Download or read book Planar Algebras in Braided Tensor Categories written by André Gil Henriques and published by American Mathematical Society. This book was released on 2023-02-13 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Geometric Analysis and Lie Theory in Mathematics and Physics by : Alan L. Carey
Download or read book Geometric Analysis and Lie Theory in Mathematics and Physics written by Alan L. Carey and published by Cambridge University Press. This book was released on 1998 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate lectures on the interface between mathematics and physics.
Book Synopsis Conformal Field Theory by : Philippe Francesco
Download or read book Conformal Field Theory written by Philippe Francesco and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 908 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.
Book Synopsis Moonshine beyond the Monster by : Terry Gannon
Download or read book Moonshine beyond the Monster written by Terry Gannon and published by Cambridge University Press. This book was released on 2023-07-31 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Strings and Branes by : Peter West
Download or read book Introduction to Strings and Branes written by Peter West and published by Cambridge University Press. This book was released on 2012-07-05 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supersymmetry, strings and branes are believed to be the essential ingredients in a single unified consistent theory of physics. This book gives a detailed, step-by-step introduction to the theoretical foundations required for research in strings and branes. After a study of the different formulations of the bosonic and supersymmetric point particles, the classical and quantum bosonic and supersymmetric string theories are presented. This book includes accounts of brane dynamics and D-branes and the T, S and U duality symmetries of string theory. The historical derivation of string theory is given as well as the sum over the world-sheet approach to the interacting string. More advanced topics include string field theory and Kac–Moody symmetries. The book contains pedagogical accounts of conformal quantum field theory, supergravity theories, Clifford algebras and spinors, and Lie algebras. It is essential reading for graduate students and researchers wanting to learn strings and branes.
Download or read book Group Theory written by Pierre Ramond and published by Cambridge University Press. This book was released on 2010-05-13 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Group theory has long been an important computational tool for physicists, but, with the advent of the Standard Model, it has become a powerful conceptual tool as well. This book introduces physicists to many of the fascinating mathematical aspects of group theory, and mathematicians to its physics applications. Designed for advanced undergraduate and graduate students, this book gives a comprehensive overview of the main aspects of both finite and continuous group theory, with an emphasis on applications to fundamental physics. Finite groups are extensively discussed, highlighting their irreducible representations and invariants. Lie algebras, and to a lesser extent Kac–Moody algebras, are treated in detail, including Dynkin diagrams. Special emphasis is given to their representations and embeddings. The group theory underlying the Standard Model is discussed, along with its importance in model building. Applications of group theory to the classification of elementary particles are treated in detail.
Book Synopsis Conformal Field Theory by : Yavuz Nutku
Download or read book Conformal Field Theory written by Yavuz Nutku and published by CRC Press. This book was released on 2018-03-14 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an understanding of conformal field theory and its importance to both statistical mechanics and string theory. It introduces the Wess-Zumino-Novokov-Witten (WZNW) models and their current algebras, the affine Kac-Moody algebras.
Book Synopsis Symmetry And Structural Properties Of Condensed Matter - Proceedings Of The 4th International School On Theoretical Physics by : Tadeusz Lulek
Download or read book Symmetry And Structural Properties Of Condensed Matter - Proceedings Of The 4th International School On Theoretical Physics written by Tadeusz Lulek and published by World Scientific. This book was released on 1997-07-01 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an adequate mathematical description of solid state properties. It concentrates on group action methods, generalized statistics and molecular symmetries (unitary and symmetric groups).
Book Synopsis Structure of the Standard Modules for the Affine Lie Algebra $A^{(1)}_1$ by : James Lepowsky
Download or read book Structure of the Standard Modules for the Affine Lie Algebra $A^{(1)}_1$ written by James Lepowsky and published by American Mathematical Soc.. This book was released on 1985 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: The affine Kac-Moody algebra $A_1 DEGREES{(1)}$ has served as a source of ideas in the representation theory of infinite-dimensional affine Lie algebras. This book develops the calculus of vertex operators to solve the problem of constructing all the standard $A_1 DEGREES{(1)}$-modules in the homogeneou
Book Synopsis Integrable Systems, Quantum Groups, and Quantum Field Theories by : Alberto Ibort
Download or read book Integrable Systems, Quantum Groups, and Quantum Field Theories written by Alberto Ibort and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many ways the last decade has witnessed a surge of interest in the interplay between theoretical physics and some traditional areas of pure mathematics. This book contains the lectures delivered at the NATO-ASI Summer School on `Recent Problems in Mathematical Physics' held at Salamanca, Spain (1992), offering a pedagogical and updated approach to some of the problems that have been at the heart of these events. Among them, we should mention the new mathematical structures related to integrability and quantum field theories, such as quantum groups, conformal field theories, integrable statistical models, and topological quantum field theories, that are discussed at length by some of the leading experts on the areas in several of the lectures contained in the book. Apart from these, traditional and new problems in quantum gravity are reviewed. Other contributions to the School included in the book range from symmetries in partial differential equations to geometrical phases in quantum physics. The book is addressed to researchers in the fields covered, PhD students and any scientist interested in obtaining an updated view of the subjects.
