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Theory Of Groups And Symmetries: Representations Of Groups And Lie Algebras, Applications, Rubakov Valery A, Isaev Alexey P


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Автор: Rubakov Valery A, Isaev Alexey P   (Валерий Рыбаков)
Название:  Theory Of Groups And Symmetries: Representations Of Groups And Lie Algebras, Applications
Перевод названия: Валерий Рыбаков: Теория групп и симметрий. Представления групп и алгебр Ли, приложения
ISBN: 9789811217401
Издательство: World Scientific Publishing
Классификация:

ISBN-10: 9811217408
Обложка/Формат: Hardback
Страницы: 616
Вес: 0.98 кг.
Дата издания: 04.08.2020
Серия: Physics
Язык: English
Размер: 22.91 x 15.19 x 2.49 cm
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Mathematical physics, MATHEMATICS / Group Theory,SCIENCE / Physics / Mathematical & Computational
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Поставляется из: Англии
Описание:

This book is a sequel to the book by the same authors entitled Theory of Groups and Symmetries: Finite Groups, Lie Groups, and Lie Algebras.

The presentation begins with the Dirac notation, which is illustrated by boson and fermion oscillator algebras and also Grassmann algebra. Then detailed account of finite-dimensional representations of groups SL(2, C) and SU(2) and their Lie algebras is presented. The general theory of finite-dimensional irreducible representations of simple Lie algebras based on the construction of highest weight representations is given. The classification of all finite-dimensional irreducible representations of the Lie algebras of the classical series sℓ(n, C), so(n, C) and sp(2r, C) is exposed.

Finite-dimensional irreducible representations of linear groups SL(N, C) and their compact forms SU(N) are constructed on the basis of the Schur-Weyl duality. A special role here is played by the theory of representations of the symmetric group algebra C Sr] (Schur-Frobenius theory, Okounkov-Vershik approach), based on combinatorics of Young diagrams and Young tableaux. Similar construction is given for pseudo-orthogonal groups O(p, q) and SO(p, q), including Lorentz groups O(1, N-1) and SO(1, N-1), and their Lie algebras, as well as symplectic groups Sp(p, q). The representation theory of Brauer algebra (centralizer algebra of SO(p, q) and Sp(p, q) groups in tensor representations) is discussed.

Finally, the covering groups Spin(p, q) for pseudo-orthogonal groups SO(p, q) are studied. For this purpose, Clifford algebras in spaces Rp, q are introduced and representations of these algebras are discussed.




Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2

Автор: Vladimir Dobrev
Название: Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2
ISBN: 9811321787 ISBN-13(EAN): 9789811321788
Издательство: Springer
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Цена: 25155.00 р.
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Описание:

This book is the second volume of the proceedings of the joint conference X. International Symposium “Quantum Theory and Symmetries” (QTS-X) and XII. International Workshop “Lie Theory and Its Applications in Physics” (LT-XII), 19–25 June 2017, Varna, Bulgaria.
The QTS series started around the core concept that symmetries underlie all descriptions of quantum systems. It has since evolved into a symposium on the frontiers of theoretical and mathematical physics. The LT series covers the whole field of Lie Theory in its widest sense together with its applications in many facets of physics. As an interface between mathematics and physics the workshop serves as a meeting place for mathematicians and theoretical and mathematical physicists.
In the division of the material between the two volumes, the Editor has tried to select for the first and second volumes papers that are more oriented toward mathematics and physics, respectively. However, this division is relative since many papers could have been placed in either volume. The topics covered in this volume represent the most modern trends in the fields of the joint conferences: symmetries in string theories, conformal field theory, holography, gravity theories and cosmology, gauge theories, foundations of quantum theory, nonrelativistic and classical theories.
Symmetries in Science

Автор: Bruno Gruber
Название: Symmetries in Science
ISBN: 1468438352 ISBN-13(EAN): 9781468438352
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Southern Illinois University at Carbondale undertook to honor Albert Einstein as scientist and as humanitarian in commemo- ration of his lOOth birthday during an "Albert Einstein Centennial Week", February 23 - March 2, 1979.

Theory of Groups and Symmetries: Finite Groups, Lie Groups, and Lie Algebras

Автор: Isaev Alexey P., Rubakov Valery A.
Название: Theory of Groups and Symmetries: Finite Groups, Lie Groups, and Lie Algebras
ISBN: 981323685X ISBN-13(EAN): 9789813236851
Издательство: World Scientific Publishing
Цена: 24552.00 р.
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Описание:

The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations. It covers the commonly encountered quantum groups (including Yangians). The second main goal of the book is to present a differential geometry of coset spaces that is actively used in investigations of models of quantum field theory, gravity and statistical physics. The third goal is to explain the main ideas about the theory of conformal symmetries, which is the basis of the AdS/CFT correspondence.

The theory of groups and symmetries is an important part of theoretical physics. In elementary particle physics, cosmology and related fields, the key role is played by Lie groups and algebras corresponding to continuous symmetries. For example, relativistic physics is based on the Lorentz and Poincare groups, and the modern theory of elementary particles -- the Standard Model -- is based on gauge (local) symmetry with the gauge group SU(3) x SU(2) x U(1). This book presents constructions and results of a general nature, along with numerous concrete examples that have direct applications in modern theoretical and mathematical physics.

Symmetries, Integrable Systems and Representations

Автор: Kenji Iohara; Sophie Morier-Genoud; Bertrand R?my
Название: Symmetries, Integrable Systems and Representations
ISBN: 1447148622 ISBN-13(EAN): 9781447148623
Издательство: Springer
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Цена: 20962.00 р.
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Описание:

This volume is the result of two international workshops; Infinite Analysis 11 - Frontier of Integrability - held at University of Tokyo, Japan in July 25th to 29th, 2011, and Symmetries, Integrable Systems and Representations held at Universit Claude Bernard Lyon 1, France in December 13th to 16th, 2011.

Included are research articles based on the talks presented at the workshops, latest results obtained thereafter, and some review articles. The subjects discussed range across diverse areas such as algebraic geometry, combinatorics, differential equations, integrable systems, representation theory, solvable lattice models and special functions.

Through these topics, the reader will find some recent developments in the field of mathematical physics and their interactions with several other domains.

Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2

Автор: Vladimir Dobrev
Название: Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2
ISBN: 9811347441 ISBN-13(EAN): 9789811347443
Издательство: Springer
Рейтинг:
Цена: 25155.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

This book is the second volume of the proceedings of the joint conference X. International Symposium “Quantum Theory and Symmetries” (QTS-X) and XII. International Workshop “Lie Theory and Its Applications in Physics” (LT-XII), 19–25 June 2017, Varna, Bulgaria.
The QTS series started around the core concept that symmetries underlie all descriptions of quantum systems. It has since evolved into a symposium on the frontiers of theoretical and mathematical physics. The LT series covers the whole field of Lie Theory in its widest sense together with its applications in many facets of physics. As an interface between mathematics and physics the workshop serves as a meeting place for mathematicians and theoretical and mathematical physicists.
In the division of the material between the two volumes, the Editor has tried to select for the first and second volumes papers that are more oriented toward mathematics and physics, respectively. However, this division is relative since many papers could have been placed in either volume. The topics covered in this volume represent the most modern trends in the fields of the joint conferences: symmetries in string theories, conformal field theory, holography, gravity theories and cosmology, gauge theories, foundations of quantum theory, nonrelativistic and classical theories.
Symmetries, Differential Equations and Applications: Sdea-III, İstanbul, Turkey, August 2017

Автор: Kac Victor G., Olver Peter J., Winternitz Pavel
Название: Symmetries, Differential Equations and Applications: Sdea-III, İstanbul, Turkey, August 2017
ISBN: 3030013758 ISBN-13(EAN): 9783030013752
Издательство: Springer
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Цена: 20962.00 р.
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Описание:

Based on the third International Conference on Symmetries, Differential Equations and Applications (SDEA-III), this proceedings volume highlights recent important advances and trends in the applications of Lie groups, including a broad area of topics in interdisciplinary studies, ranging from mathematical physics to financial mathematics. The selected and peer-reviewed contributions gathered here cover Lie theory and symmetry methods in differential equations, Lie algebras and Lie pseudogroups, super-symmetry and super-integrability, representation theory of Lie algebras, classification problems, conservation laws, and geometrical methods.
The SDEA III, held in honour of the Centenary of Noether’s Theorem, proven by the prominent German mathematician Emmy Noether, at Istanbul Technical University in August 2017 provided a productive forum for academic researchers, both junior and senior, and students to discuss and share the latest developments in the theory and applications of Lie symmetry groups.This work has an interdisciplinary appeal and will be a valuable read for researchers in mathematics, mechanics, physics, engineering, medicine and finance.
Symmetries, Differential Equations and Applications

Автор: Victor G. Kac; Peter J. Olver; Pavel Winternitz; T
Название: Symmetries, Differential Equations and Applications
ISBN: 3030131769 ISBN-13(EAN): 9783030131760
Издательство: Springer
Рейтинг:
Цена: 20962.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

Based on the third International Conference on Symmetries, Differential Equations and Applications (SDEA-III), this proceedings volume highlights recent important advances and trends in the applications of Lie groups, including a broad area of topics in interdisciplinary studies, ranging from mathematical physics to financial mathematics. The selected and peer-reviewed contributions gathered here cover Lie theory and symmetry methods in differential equations, Lie algebras and Lie pseudogroups, super-symmetry and super-integrability, representation theory of Lie algebras, classification problems, conservation laws, and geometrical methods.
The SDEA III, held in honour of the Centenary of Noether’s Theorem, proven by the prominent German mathematician Emmy Noether, at Istanbul Technical University in August 2017 provided a productive forum for academic researchers, both junior and senior, and students to discuss and share the latest developments in the theory and applications of Lie symmetry groups.This work has an interdisciplinary appeal and will be a valuable read for researchers in mathematics, mechanics, physics, engineering, medicine and finance.
The Vector Coherent State Method and Its Application to Problems of Higher Symmetries

Автор: Karl T. Hecht
Название: The Vector Coherent State Method and Its Application to Problems of Higher Symmetries
ISBN: 3662136333 ISBN-13(EAN): 9783662136331
Издательство: Springer
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Цена: 6986.00 р.
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Описание: The formulation involves some vector (or analogous higher symmetry) coupling of the intrinsic algebra with the n-dimensional oscillator algebra, leading to matrix representations and Wigner coefficients of the higher symmetry algebra expressed in terms of simple calculable functions and recoupling coefficients for the simpler intrinsic algebra.

Symmetries in Science VII

Автор: Bruno Gruber; Takaharu Otsuka
Название: Symmetries in Science VII
ISBN: 1461362857 ISBN-13(EAN): 9781461362852
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Proceedings of a symposium held in Nakajo, Niigata, Japan, August 28-31, 1992

Physical and Mathematical Aspects of Symmetries

Автор: Sergio Duarte; Jean-Pierre Gazeau; Sofiane Faci; T
Название: Physical and Mathematical Aspects of Symmetries
ISBN: 3319691635 ISBN-13(EAN): 9783319691633
Издательство: Springer
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Описание: Boyle, for their life-long contributions to the math and physics communities. The aim of the ICGTMP is to provide a forum for physicists, mathematicians, and scientists of related disciplines who develop or apply methods in group theory to share their research.

Symmetries in Fundamental Physics

Автор: Kurt Sundermeyer
Название: Symmetries in Fundamental Physics
ISBN: 3319065807 ISBN-13(EAN): 9783319065809
Издательство: Springer
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Цена: 19564.00 р.
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Описание: Over the course of the last century it has become clear that both elementary particle physics and relativity theories are based on the notion of symmetries. Given this pivotal role of symmetries it is thus not surprising that current research in fundamental physics is to a great degree motivated and inspired by considerations of symmetry.

Symmetries in Science V

Автор: Bruno Gruber; L.C. Biedenharn; H.D. D?bner
Название: Symmetries in Science V
ISBN: 1461366437 ISBN-13(EAN): 9781461366430
Издательство: Springer
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Описание: Proceedings of a symposium held in Landesbildungszentrum Schloss Hofen, Lochau, Vorarlberg, Austria, July 30-August 3, 1990


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