A Quantum Groups Primer

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A Quantum Groups Primer
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Author : Shahn Majid
language : en
Publisher: Cambridge University Press
Release Date : 2002-04-04
A Quantum Groups Primer written by Shahn Majid 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 2002-04-04 with Mathematics categories.
This book provides a self-contained introduction to quantum groups as algebraic objects. Based on the author's lecture notes for the Part III pure mathematics course at Cambridge University, it is suitable for use as a textbook for graduate courses in quantum groups or as supplement to modern courses in advanced algebra. The book assumes a background knowledge of basic algebra and linear algebra. Some familiarity with semisimple Lie algebras would also be helpful. The book is aimed as a primer for mathematicians but will also be useful for mathematical physicists.
Lectures On Algebraic Quantum Groups
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Author : John C Brown
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-04-01
Lectures On Algebraic Quantum Groups written by John C Brown 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 2002-04-01 with Mathematics categories.
This book consists of an expanded set of lectures on algebraic aspects of quantum groups. It particularly concentrates on quantized coordinate rings of algebraic groups and spaces and on quantized enveloping algebras of semisimple Lie algebras. Large parts of the material are developed in full textbook style, featuring many examples and numerous exercises; other portions are discussed with sketches of proofs, while still other material is quoted without proof.
Lectures On Quantum Mechanics
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Author : Philip L. Bowers
language : en
Publisher: Cambridge University Press
Release Date : 2020-09-17
Lectures On Quantum Mechanics written by Philip L. Bowers 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 2020-09-17 with Science categories.
A leisurely but mathematically honest presentation of quantum mechanics for graduate students in mathematics with an interest in physics.
Hopf Algebras Quantum Groups And Yang Baxter Equations
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Author : Florin Felix Nichita
language : en
Publisher: MDPI
Release Date : 2019-01-31
Hopf Algebras Quantum Groups And Yang Baxter Equations written by Florin Felix Nichita and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-31 with Mathematics categories.
This book is a printed edition of the Special Issue "Hopf Algebras, Quantum Groups and Yang-Baxter Equations" that was published in Axioms
Primer For Point And Space Groups
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Author : Richard Liboff
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Primer For Point And Space Groups written by Richard Liboff 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.
This text stems from a course I have taught a number of times, attended by students of material science, electrical engineering, physics, chemistry, physical chemistry and applied mathematics. It is intended as an intro ductory discourse to give the reader a first encounter with group theory. The work concentrates on point and space groups as these groups have the principal application in technology. Here is an outline of the salient features of the chapters. In Chapter 1, basic notions and definitions are introduced including that of Abelian groups, cyclic groups, Sylow's theorems, Lagrange's subgroup theorem and the rearrangement theorem. In Chapter 2, the concepts of classes and direct products are discussed. Applications of point groups to the Platonic solids and non-regular dual polyhedra are described. In Chapter 3, matrix representation of operators are introduced leading to the notion of irreducible representations ('irreps'). The Great Orthogonal ity Theorem (GOT) is also introduced, followed by six important rules relating to dimensions of irreps. Schur's lemma and character tables are described. Applications to quantum mechanics are discussed in Chapter 4 including descriptions of the rotation groups in two and three dimensions, the symmetric group, Cayley's theorem and Young diagrams. The relation of degeneracy of a quantum state of a system to dimensions of irreps of the group of symmetries of the system are discussed, as well as the basis properties of related eigenfunctions.
Quantum Mechanics And Quantum Field Theory
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Author : Jonathan Dimock
language : en
Publisher: Cambridge University Press
Release Date : 2011-02-03
Quantum Mechanics And Quantum Field Theory written by Jonathan Dimock 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 2011-02-03 with Science categories.
Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding.
Quantum Continuous Variables
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Author : Alessio Serafini
language : en
Publisher: CRC Press
Release Date : 2017-07-20
Quantum Continuous Variables written by Alessio Serafini and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-20 with Mathematics categories.
Quantum Continuous Variables introduces the theory of continuous variable quantum systems, from its foundations based on the framework of Gaussian states to modern developments, including its applications to quantum information and forthcoming quantum technologies. This new book addresses the theory of Gaussian states, operations, and dynamics in great depth and breadth, through a novel approach that embraces both the Hilbert space and phase descriptions. The volume includes coverage of entanglement theory and quantum information protocols, and their connection with relevant experimental set-ups. General techniques for non-Gaussian manipulations also emerge as the treatment unfolds, and are demonstrated with specific case studies. This book will be of interest to graduate students looking to familiarise themselves with the field, in addition to experienced researchers eager to enhance their understanding of its theoretical methods. It will also appeal to experimentalists searching for a rigorous but accessible treatment of the theory in the area.
Lectures On Quantum Groups
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Author : Pavel I. Etingof
language : en
Publisher:
Release Date : 2002
Lectures On Quantum Groups written by Pavel I. Etingof and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematical physics categories.
Based on lectures given at Harvard University in 1997, this book is an introduction to the theory of quantum groups and its development between 1982 and 1997. Topics covered include: relevant quasiclassical objects; bialgebras; Hopf algebras; and lie associators.
Moduli Spaces And Vector Bundles
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Author : Steve Bradlow
language : en
Publisher: Cambridge University Press
Release Date : 2009-05-21
Moduli Spaces And Vector Bundles written by Steve Bradlow 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 2009-05-21 with Mathematics categories.
Coverage includes foundational material as well as current research, authored by top specialists within their fields.
Algebraic Cycles And Motives Volume 1
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Author : Jan Nagel
language : en
Publisher: Cambridge University Press
Release Date : 2007-05-03
Algebraic Cycles And Motives Volume 1 written by Jan Nagel 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 2007-05-03 with Mathematics categories.
This 2007 book is a self-contained account of the subject of algebraic cycles and motives.