The Dynamical Yang Baxter Equation Representation Theory And Quantum Integrable Systems
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The Dynamical Yang Baxter Equation Representation Theory and Quantum Integrable Systems
Author | : Pavel Etingof,Frederic Latour |
Publsiher | : OUP Oxford |
Total Pages | : 152 |
Release | : 2005-03-24 |
Genre | : Mathematics |
ISBN | : 9780191523922 |
Download The Dynamical Yang Baxter Equation Representation Theory and Quantum Integrable Systems Book in PDF, Epub and Kindle
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
Author | : P. I. Etingof |
Publsiher | : Unknown |
Total Pages | : 138 |
Release | : 2005 |
Genre | : Electronic Book |
ISBN | : OCLC:704807750 |
Download The Dynamical Yang Baxter Equation Representation Theory and Quantum Integrable Systems Book in PDF, Epub and Kindle
Quantum Groups and Lie Theory
Author | : Andrew Pressley |
Publsiher | : Cambridge University Press |
Total Pages | : 246 |
Release | : 2002-01-17 |
Genre | : Mathematics |
ISBN | : 113943702X |
Download Quantum Groups and Lie Theory Book in PDF, Epub and Kindle
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.
Yang Baxter Equation in Integrable Systems
Author | : Michio Jimbo |
Publsiher | : World Scientific |
Total Pages | : 740 |
Release | : 1990 |
Genre | : Science |
ISBN | : 9810201214 |
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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.
The Dynamical Yang Baxter Equation Representation Theory and Quantum Integrable Systems
Author | : Pavel Etingof,Pavel I. Etingof,Frederic Latour |
Publsiher | : Oxford University Press on Demand |
Total Pages | : 151 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 9780198530688 |
Download The Dynamical Yang Baxter Equation Representation Theory and Quantum Integrable Systems Book in PDF, Epub and Kindle
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.
Quantum Group And Quantum Integrable Systems Nankai Lectures On Mathematical Physics
Author | : Mo-lin Ge |
Publsiher | : World Scientific |
Total Pages | : 242 |
Release | : 1992-05-30 |
Genre | : Electronic Book |
ISBN | : 9789814555838 |
Download Quantum Group And Quantum Integrable Systems Nankai Lectures On Mathematical Physics Book in PDF, Epub and Kindle
This volume contains the lectures given by the three speakers, M Jimbo, P P Kulish and E K Sklyanin, who are outstanding experts in their field. It is essential reading to those working in the fields of Quantum Groups, and Integrable Systems.
Elliptic Quantum Groups
Author | : Hitoshi Konno |
Publsiher | : Springer Nature |
Total Pages | : 139 |
Release | : 2020-09-14 |
Genre | : Science |
ISBN | : 9789811573873 |
Download Elliptic Quantum Groups Book in PDF, Epub and Kindle
This is the first book on elliptic quantum groups, i.e., quantum groups associated to elliptic solutions of the Yang-Baxter equation. Based on research by the author and his collaborators, the book presents a comprehensive survey on the subject including a brief history of formulations and applications, a detailed formulation of the elliptic quantum group in the Drinfeld realization, explicit construction of both finite and infinite-dimensional representations, and a construction of the vertex operators as intertwining operators of these representations. The vertex operators are important objects in representation theory of quantum groups. In this book, they are used to derive the elliptic q-KZ equations and their elliptic hypergeometric integral solutions. In particular, the so-called elliptic weight functions appear in such solutions. The author’s recent study showed that these elliptic weight functions are identified with Okounkov’s elliptic stable envelopes for certain equivariant elliptic cohomology and play an important role to construct geometric representations of elliptic quantum groups. Okounkov’s geometric approach to quantum integrable systems is a rapidly growing topic in mathematical physics related to the Bethe ansatz, the Alday-Gaiotto-Tachikawa correspondence between 4D SUSY gauge theories and the CFT’s, and the Nekrasov-Shatashvili correspondences between quantum integrable systems and quantum cohomology. To invite the reader to such topics is one of the aims of this book.
Integrable Systems And Quantum Groups
Author | : Mauro Carfora,Maurizio Martellini,Annalisa Marzuoli |
Publsiher | : World Scientific |
Total Pages | : 194 |
Release | : 1992-04-30 |
Genre | : Electronic Book |
ISBN | : 9789814554763 |
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This volume contains lectures on recent advances in the theory of integrable systems and quantum groups. It introduces the reader to attractive areas of current research.