The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems

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Publisher : OUP Oxford
ISBN 13 : 0191523925
Total Pages : 152 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems by : Pavel Etingof

Download or read book The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems written by Pavel Etingof and published by OUP Oxford. This book was released on 2005-03-24 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text is based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equation and its applications, which is an important area in representation theory and quantum groups. The book, which contains many detailed proofs and explicit calculations, will be accessible to graduate students of mathematics, who are familiar with the basics of representation theory of semisimple Lie algebras.

The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems

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Publisher :
ISBN 13 :
Total Pages : 138 pages
Book Rating : 4.:/5 (74 download)

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Book Synopsis The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems by : P. I. Etingof

Download or read book The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems written by P. I. Etingof and published by . This book was released on 2005 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems

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Author :
Publisher : Oxford University Press, USA
ISBN 13 : 0198530684
Total Pages : 151 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems by : Pavel I. Etingof

Download or read book The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems written by Pavel I. Etingof and published by Oxford University Press, USA. This book was released on 2005 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text is based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equation and its applications, which is an important area in representation theory and quantum groups. The book, which contains many detailed proofs and explicit calculations, will be accessible to graduate students of mathematics, who are familiar with the basics of representation theory of semisimple Lie algebras.

Yang-Baxter Equation in Integrable Systems

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Author :
Publisher : World Scientific
ISBN 13 : 9789810201203
Total Pages : 740 pages
Book Rating : 4.2/5 (12 download)

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Book Synopsis Yang-Baxter Equation in Integrable Systems by : Michio Jimbo

Download or read book Yang-Baxter Equation in Integrable Systems written by Michio Jimbo and published by World Scientific. This book was released on 1990 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume will be the first reference book devoted specially to the Yang-Baxter equation. The subject relates to broad areas including solvable models in statistical mechanics, factorized S matrices, quantum inverse scattering method, quantum groups, knot theory and conformal field theory. The articles assembled here cover major works from the pioneering papers to classical Yang-Baxter equation, its quantization, variety of solutions, constructions and recent generalizations to higher genus solutions.

Quantum Groups and Lie Theory

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Publisher : Cambridge University Press
ISBN 13 : 9781139437028
Total Pages : 246 pages
Book Rating : 4.4/5 (37 download)

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Book Synopsis Quantum Groups and Lie Theory by : Andrew Pressley

Download or read book Quantum Groups and Lie Theory written by Andrew Pressley and published by Cambridge University Press. This book was released on 2002-01-17 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises an overview of the material presented at the 1999 Durham Symposium on Quantum Groups and includes contributions from many of the world's leading figures in this area. It will be of interest to researchers and will also be useful as a reference text for graduate courses.

Hypergeometry, Integrability and Lie Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470465205
Total Pages : 362 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Hypergeometry, Integrability and Lie Theory by : Erik Koelink

Download or read book Hypergeometry, Integrability and Lie Theory written by Erik Koelink and published by American Mathematical Soc.. This book was released on 2022-08-30 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the virtual conference on Hypergeometry, Integrability and Lie Theory, held from December 7–11, 2020, which was dedicated to the 50th birthday of Jasper Stokman. The papers represent recent developments in the areas of representation theory, quantum integrable systems and special functions of hypergeometric type.

Hopf Algebras and Generalizations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821838202
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Hopf Algebras and Generalizations by : Louis H. Kauffman

Download or read book Hopf Algebras and Generalizations written by Louis H. Kauffman and published by American Mathematical Soc.. This book was released on 2007 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hopf algebras have proved to be very interesting structures with deep connections to various areas of mathematics, particularly through quantum groups. Indeed, the study of Hopf algebras, their representations, their generalizations, and the categories related to all these objects has an interdisciplinary nature. It finds methods, relationships, motivations and applications throughout algebra, category theory, topology, geometry, quantum field theory, quantum gravity, and also combinatorics, logic, and theoretical computer science. This volume portrays the vitality of contemporary research in Hopf algebras. Altogether, the articles in the volume explore essential aspects of Hopf algebras and some of their best-known generalizations by means of a variety of approaches and perspectives. They make use of quite different techniques that are already consolidated in the area of quantum algebra. This volume demonstrates the diversity and richness of its subject. Most of its papers introduce the reader to their respective contexts and structures through very expository preliminary sections.

Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach

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Publisher : Springer Science & Business Media
ISBN 13 : 1461541093
Total Pages : 314 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach by : L.A. Lambe

Download or read book Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach written by L.A. Lambe and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chapter 1 The algebraic prerequisites for the book are covered here and in the appendix. This chapter should be used as reference material and should be consulted as needed. A systematic treatment of algebras, coalgebras, bialgebras, Hopf algebras, and represen tations of these objects to the extent needed for the book is given. The material here not specifically cited can be found for the most part in [Sweedler, 1969] in one form or another, with a few exceptions. A great deal of emphasis is placed on the coalgebra which is the dual of n x n matrices over a field. This is the most basic example of a coalgebra for our purposes and is at the heart of most algebraic constructions described in this book. We have found pointed bialgebras useful in connection with solving the quantum Yang-Baxter equation. For this reason we develop their theory in some detail. The class of examples described in Chapter 6 in connection with the quantum double consists of pointed Hopf algebras. We note the quantized enveloping algebras described Hopf algebras. Thus for many reasons pointed bialgebras are elsewhere are pointed of fundamental interest in the study of the quantum Yang-Baxter equation and objects quantum groups.

Mathematical Geophysics

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Publisher : Oxford University Press
ISBN 13 : 019857133X
Total Pages : 263 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Mathematical Geophysics by : Jean-Yves Chemin

Download or read book Mathematical Geophysics written by Jean-Yves Chemin and published by Oxford University Press. This book was released on 2006-04-13 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at graduate students and researchers in mathematics, engineering, oceanography, meteorology and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The Navier-Stokes equations are examined in both incompressible and rapidly rotating forms.

Smoothing and Decay Estimates for Nonlinear Diffusion Equations

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Publisher : Oxford University Press, USA
ISBN 13 : 0199202974
Total Pages : 249 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Smoothing and Decay Estimates for Nonlinear Diffusion Equations by : Juan Luis Vázquez

Download or read book Smoothing and Decay Estimates for Nonlinear Diffusion Equations written by Juan Luis Vázquez and published by Oxford University Press, USA. This book was released on 2006-08-03 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is concerned with quantitative aspects of the theory of nonlinear diffusion equations, whichappear as mathematical models in different branches of Physics, Chemistry, Biology and Engineering.

Graph Theory As I Have Known It

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Publisher : Oxford University Press
ISBN 13 : 0199660557
Total Pages : 166 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Graph Theory As I Have Known It by : W. T. Tutte

Download or read book Graph Theory As I Have Known It written by W. T. Tutte and published by Oxford University Press. This book was released on 2012-05-24 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique introduction to graph theory, written by one of the founding fathers. Professor William Tutte, codebreaker and mathematician, details his experiences in the area and provides a fascinating insight into the processes leading to his proofs.

The Factorization Method for Inverse Problems

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Publisher : Oxford University Press, USA
ISBN 13 : 0199213534
Total Pages : 216 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis The Factorization Method for Inverse Problems by : Andreas Kirsch

Download or read book The Factorization Method for Inverse Problems written by Andreas Kirsch and published by Oxford University Press, USA. This book was released on 2008 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 'factorization method', discovered by Professor Kirsch, is a relatively new method for solving certain types of inverse scattering problems and problems in tomography. The text introduces the reader to this promising approach and discusses the wide applicability of this method by choosing typical examples.

Function Spaces and Partial Differential Equations

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Publisher : OUP Oxford
ISBN 13 : 0191047821
Total Pages : 523 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Function Spaces and Partial Differential Equations by : Ali Taheri

Download or read book Function Spaces and Partial Differential Equations written by Ali Taheri and published by OUP Oxford. This book was released on 2015-07-30 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book written primarily for graduate students and early researchers in the fields of Analysis and Partial Differential Equations (PDEs). Coverage of the material is essentially self-contained, extensive and novel with great attention to details and rigour. The strength of the book primarily lies in its clear and detailed explanations, scope and coverage, highlighting and presenting deep and profound inter-connections between different related and seemingly unrelated disciplines within classical and modern mathematics and above all the extensive collection of examples, worked-out and hinted exercises. There are well over 700 exercises of varying level leading the reader from the basics to the most advanced levels and frontiers of research. The book can be used either for independent study or for a year-long graduate level course. In fact it has its origin in a year-long graduate course taught by the author in Oxford in 2004-5 and various parts of it in other institutions later on. A good number of distinguished researchers and faculty in mathematics worldwide have started their research career from the course that formed the basis for this book.

Invitation to Fixed-Parameter Algorithms

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Publisher : OUP Oxford
ISBN 13 : 0191524158
Total Pages : 316 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Invitation to Fixed-Parameter Algorithms by : Rolf Niedermeier

Download or read book Invitation to Fixed-Parameter Algorithms written by Rolf Niedermeier and published by OUP Oxford. This book was released on 2006-02-02 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research-level text is an application-oriented introduction to the growing and highly topical area of the development and analysis of efficient fixed-parameter algorithms for optimally solving computationally hard combinatorial problems. The book is divided into three parts: a broad introduction that provides the general philosophy and motivation; followed by coverage of algorithmic methods developed over the years in fixed-parameter algorithmics forming the core of the book; and a discussion of the essentials from parameterized hardness theory with a focus on W[1]-hardness which parallels NP-hardness, then stating some relations to polynomial-time approximation algorithms, and finishing up with a list of selected case studies to show the wide range of applicability of the presented methodology. Aimed at graduate and research mathematicians, programmers, algorithm designers, and computer scientists, the book introduces the basic techniques and results and provides a fresh view on this highly innovative field of algorithmic research.

The Diophantine Frobenius Problem

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Publisher : OUP Oxford
ISBN 13 : 0191524484
Total Pages : 260 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The Diophantine Frobenius Problem by : Jorge L. Ramírez Alfonsín

Download or read book The Diophantine Frobenius Problem written by Jorge L. Ramírez Alfonsín and published by OUP Oxford. This book was released on 2005-12-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised he following problem, known as the Frobenius Problem (FP): given relatively prime positive integers a1,...,an, find the largest natural number (called the Frobenius number and denoted by g(a1,...,an) that is not representable as a nonnegative integer combination of a1,...,an, . At first glance FP may look deceptively specialized. Nevertheless it crops up again and again in the most unexpected places and has been extremely useful in investigating many different problems. A number of methods, from several areas of mathematics, have been used in the hope of finding a formula giving the Frobenius number and algorithms to calculate it. The main intention of this book is to highlight such methods, ideas, viewpoints and applications to a broader audience.

Flips for 3-folds and 4-folds

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Publisher : Oxford University Press, USA
ISBN 13 : 0198570619
Total Pages : 200 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Flips for 3-folds and 4-folds by : Alessio Corti

Download or read book Flips for 3-folds and 4-folds written by Alessio Corti and published by Oxford University Press, USA. This book was released on 2007-06-28 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at graduates and researchers in algebraic geometry, this collection of edited chapters provides a complete and essentially self-contained account of the construction of 3-fold and 4-fold klt flips.

Integrable Systems

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821870228
Total Pages : 284 pages
Book Rating : 4.8/5 (72 download)

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Book Synopsis Integrable Systems by : John P. Harnad

Download or read book Integrable Systems written by John P. Harnad and published by American Mathematical Soc.. This book was released on with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the papers based upon lectures given at the 1999 Séminaire de Mathémathiques Supérieurs held in Montreal. It includes contributions from many of the most active researchers in the field. This subject has been in a remarkably active state of development throughout the past three decades, resulting in new motivation for study in r s3risingly different directions. Beyond the intrinsic interest in the study of integrable models of many-particle systems, spin chains, lattice and field theory models at both the classical and the quantum level, and completely solvable models in statistical mechanics, there have been new applications in relation to a number of other fields of current interest. These fields include theoretical physics and pure mathematics, for example the Seiberg-Witten approach to supersymmetric Yang-Mills theory, the spectral theory of random matrices, topological models of quantum gravity, conformal field theory, mirror symmetry, quantum cohomology, etc. This collection gives a nice cross-section of the current state of the work in the area of integrable systems which is presented by some of the leading active researchers in this field. The scope and quality of the articles in this volume make this a valuable resource for those interested in an up-to-date introduction and an overview of many of the main areas of study in the theory of integral systems.