Topics In Quantum Groups And Finite Type Invariants
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Topics In Quantum Groups And Finite Type Invariants
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Author : Boris L. Feigin
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Topics In Quantum Groups And Finite Type Invariants written by Boris L. Feigin 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 1998 with Mathematics categories.
Presents the first collection of articles consisting entirely of work by the faculty and students at the Higher Mathematics College at the Independent University of Moscow. The 11 contributions cover symmetry groups of regular polyhedra over finite fields, vector bundles on an elliptical curve and Skylanin algebras, Tutte decomposition for graphs and symmetric matrices, and invarians and homology of spaces of knots in arbitrary manifolds. The focus of the text is on quantum groups and low-dimensional topology. No index. Annotation copyrighted by Book News, Inc., Portland, OR.
Quantum Groups
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Author : Benjamin Enriquez
language : en
Publisher: European Mathematical Society
Release Date : 2008
Quantum Groups written by Benjamin Enriquez and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
The volume starts with a lecture course by P. Etingof on tensor categories (notes by D. Calaque). This course is an introduction to tensor categories, leading to topics of recent research such as realizability of fusion rings, Ocneanu rigidity, module categories, weak Hopf algebras, Morita theory for tensor categories, lifting theory, categorical dimensions, Frobenius-Perron dimensions, and the classification of tensor categories. The remainder of the book consists of three detailed expositions on associators and the Vassiliev invariants of knots, classical and quantum integrable systems and elliptic algebras, and the groups of algebra automorphisms of quantum groups. The preface puts the results presented in perspective. Directed at research mathematicians and theoretical physicists as well as graduate students, the volume gives an overview of the ongoing research in the domain of quantum groups, an important subject of current mathematical physics.
New Developments In Singularity Theory
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Author : Dirk Wiersma
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
New Developments In Singularity Theory written by Dirk Wiersma 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 Mathematics categories.
Singularities arise naturally in a huge number of different areas of mathematics and science. As a consequence, singularity theory lies at the crossroads of paths that connect many of the most important areas of applications of mathematics with some of its most abstract regions. The main goal in most problems of singularity theory is to understand the dependence of some objects of analysis, geometry, physics, or other science (functions, varieties, mappings, vector or tensor fields, differential equations, models, etc.) on parameters. The articles collected here can be grouped under three headings. (A) Singularities of real maps; (B) Singular complex variables; and (C) Singularities of homomorphic maps.
Introduction To Vassiliev Knot Invariants
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Author : S. Chmutov
language : en
Publisher: Cambridge University Press
Release Date : 2012-05-24
Introduction To Vassiliev Knot Invariants written by S. Chmutov 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 2012-05-24 with Mathematics categories.
A detailed exposition of the theory with an emphasis on its combinatorial aspects.
Quantum Algebras And Poisson Geometry In Mathematical Physics
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Author : Mikhail Vladimirovich Karasev
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Quantum Algebras And Poisson Geometry In Mathematical Physics written by Mikhail Vladimirovich Karasev 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 2005 with Computers categories.
This collection presents new and interesting applications of Poisson geometry to some fundamental well-known problems in mathematical physics. In addition to advanced Poisson geometry, the methods used by the authors include unexpected algebras with non-Lie commutation relations, nontrivial (quantum) Kahlerian structures of hypergeometric type, dynamical systems theory, semiclassical asymptotics, and more. The volume is suitable for graduate students and researchers interested in mathematical physics. Other AMS publications by M. Karasev include ""Nonlinear Poisson Brackets""; ""Geometry and Quantization"", ""Coherent Transform, Quantization, and Poisson Geometry"", and ""Asymptotic Methods for Wave and Quantum Problems"".
Moscow Seminar On Mathematical Physics Ii
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Author : Yu. A. Neretin
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Moscow Seminar On Mathematical Physics Ii written by Yu. A. Neretin 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 2008 with Mathematics categories.
The Institute for Theoretical and Experimental Physics (ITEP) is internationally recognized for achievements in various branches of theoretical physics. For many years, the seminars at ITEP have been among the main centers of scientific life in Moscow. This volume is a collection of articles by participants of the seminar on mathematical physics that has been held at ITEP since 1983. This is the second such collection; the first was published in the same series, AMS Translations, Series 2, vol. 191. The papers in the volume are devoted to several mathematical topics that strongly influenced modern theoretical physics. Among these topics are cohomology and representations of infinite Lie algebras and superalgebras, Hitchin and Knizhnik-Zamolodchikov-Bernard systems, and the theory of $D$-modules. The book is intended for graduate students and research mathematicians working in algebraic geometry, representation theory, and mathematical physics.
Nonlinear Partial Differential Equations And Related Topics
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Author : Arina A. Arkhipova
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Nonlinear Partial Differential Equations And Related Topics written by Arina A. Arkhipova 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 2010 with Mathematics categories.
"St. Petersburg PDE seminar, special session dedicated to N.N. Uraltseva's [75th] anniversary, June 2009"--P. [vi].
Noncommutative Geometry And Representation Theory In Mathematical Physics
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Author : Jürgen Fuchs
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Noncommutative Geometry And Representation Theory In Mathematical Physics written by Jürgen Fuchs 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 2005 with Mathematics categories.
Mathematics provides a language in which to formulate the laws that govern nature. It is a language proven to be both powerful and effective. In the quest for a deeper understanding of the fundamental laws of physics, one is led to theories that are increasingly difficult to put to the test. In recent years, many novel questions have emerged in mathematical physics, particularly in quantum field theory. Indeed, several areas of mathematics have lately become increasingly influentialin physics and, in turn, have become influenced by developments in physics. Over the last two decades, interactions between mathematicians and physicists have increased enormously and have resulted in a fruitful cross-fertilization of the two communities. This volume contains the plenary talks fromthe international symposium on Noncommutative Geometry and Representation Theory in Mathematical Physics held at Karlstad University (Sweden) as a satellite conference to the Fourth European Congress of Mathematics. The scope of the volume is large and its content is relevant to various scientific communities interested in noncommutative geometry and representation theory. It offers a comprehensive view of the state of affairs for these two branches of mathematical physics. The book is suitablefor graduate students and researchers interested in mathematical physics.
Selected Papers On Differential Equations And Analysis
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Selected Papers On Differential Equations And Analysis written by 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 2005 with Mathematics categories.
Contains translations of papers that originally appeared in the Japanese journal "Sugaku". This book covers a variety of topics, including differential equations with free boundary, singular integral operators, and operator algebras. It is suitable for graduate students and research mathematicians interested in analysis and differential equations.
Nonlinear Equations And Spectral Theory
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Author : M. S. Birman
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
Nonlinear Equations And Spectral Theory written by M. S. Birman 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 2007 with Mathematics categories.