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Symmetries, Lie Algebras and Representations, Fuchs/Schweigert



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Автор: Fuchs/Schweigert
Название:  Symmetries, Lie Algebras and Representations
Перевод названия: Симметрия, алгебра Ли и репрезентации
ISBN: 9780521541190
Издательство: Cambridge Academ
Классификация:
ISBN-10: 0521541190
Обложка/Формат: Paperback
Страницы: 464
Вес: 0.834 кг.
Дата издания: 07.10.2003
Серия: Cambridge monographs on mathematical physics
Язык: English
Издание: New ed
Иллюстрации: 36 line figures 18 tables 188 exercises
Размер: 246 x 192 x 25
Читательская аудитория: Professional & vocational
Подзаголовок: A graduate course for physicists
Ссылка на Издательство: Link
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Поставляется из: Англии
Дополнительное описание: Subject: Physics / Theoretical Physics and Mathematical Physics
Readership: physics, theoretical physics, mathematics
Level: academic researchers, graduate students
Format: 460pp 36 line diagrams 18 tables 188 exercises
Chapter Titles: Preface; 1. Symmetries and conservation laws; 2. Basic examples; 3. The Lie algebra su(3) and hadron symmetries; 4. Formalization: algebras and Lie algebras; 5. Representations; 6. The Cartan-Weyl basis; 7. Simple and affine Lie algebras; 8. Real Lie algebras and real forms; 9. Lie groups; 10. Symmetries of the root system. The Weyl group; 11. Automorphisms of Lie algebras; 12. Loop algebras and central extensions; 13. Highest weight representations; 14. Verma modules, Casimirs, and the character formula; 15. Tensor products of representations; 16. Clebsch-Gordan coefficients and tensor operators; 17. Invariant tensors; 18. Subalgebras and branching rules; 19. Young tableaux and the symmetric group; 20. Spinors, Clifford algebras, and supersymmetry; 21. Representations on function spaces; 22. Hopf algebras and representation rings; Epilogue; References; Index.





Lie Groups, Lie Algebras, and Representations

Автор: Hall
Название: Lie Groups, Lie Algebras, and Representations
ISBN: 0387401229 ISBN-13(EAN): 9780387401225
Издательство: Springer
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Цена: 6972 р.
Наличие на складе: Нет в наличии.

Описание: This book addresses Lie groups, Lie algebras, and representation theory. In order to keep the prerequisites to a minimum, the author restricts attention to matrix Lie groups and Lie algebras. This approach keeps the discussion concrete, allows the reader to get to the heart of the subject quickly, and covers all of the most interesting examples. The book also introduces the often-intimidating machinery of roots and the Weyl group in a gradual way, using examples and representation theory as motivation. The text is divided into two parts. The first covers Lie groups and Lie algebras and the relationship between them, along with basic representation theory. The second part covers the theory of semisimple Lie groups and Lie algebras, beginning with a detailed analysis of the representations of SU(3). The author illustrates the general theory with numerous images pertaining to Lie algebras of rank two and rank three, including images of root systems, lattices of dominant integral weights, and weight diagrams. This book is sure to become a standard textbook for graduate students in mathematics and physics with little or no prior exposure to Lie theory. Brian Hall is an Associate Professor of Mathematics at the University of Notre Dame.

Algebras, rings and their representations - proceedings of the international conference on algebras, modules and rings

Название: Algebras, rings and their representations - proceedings of the international conference on algebras, modules and rings
ISBN: 9812565981 ISBN-13(EAN): 9789812565983
Издательство: World Scientific Publishing
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Цена: 26935 р.
Наличие на складе: Поставка под заказ.

Описание: Surveying the most influential developments in the field, this proceedings reviews the latest research on algebras and their representations, commutative and non-commutative rings, modules, conformal algebras, and torsion theories. The volume collects stimulating discussions from world-renowned names including Tsit-Yuen Lam, Larry Levy, Barbara Osofsky, and Patrick Smith.

Representations of Hecke Algebras at Roots of Unity

Автор: Geck
Название: Representations of Hecke Algebras at Roots of Unity
ISBN: 0857297155 ISBN-13(EAN): 9780857297150
Издательство: Springer
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Цена: 16334 р.
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Описание: The modular representation theory of Iwahori-Hecke algebras and this theory's connection to groups of Lie type is an area of rapidly expanding interest; it is one that has also seen a number of breakthroughs in recent years. In classifying the irreducible representations of Iwahori-Hecke algebras at roots of unity, this book is a particularly valuable addition to current research in this field. Using the framework provided by the Kazhdan-Lusztig theory of cells, the authors develop an analogue of James' (1970) characteristic-free'' approach to the representation theory of Iwahori-Hecke algebras in general. Presenting a systematic and unified treatment of representations of Hecke algebras at roots of unity, this book is unique in its approach and includes new results that have not yet been published in book form. It also serves as background reading to further active areas of current research such as the theory of affine Hecke algebras and Cherednik algebras. The main results of this book are obtained by an interaction of several branches of mathematics, namely the theory of Fock spaces for quantum affine Lie algebras and Ariki's theorem, the combinatorics of crystal bases, the theory of Kazhdan-Lusztig bases and cells, and computational methods. This book will be of use to researchers and graduate students in representation theory as well as any researchers outside of the field with an interest in Hecke algebras.

Groups and Symmetries

Автор: Yvette Kosmann-Schwarzbach
Название: Groups and Symmetries
ISBN: 0387788654 ISBN-13(EAN): 9780387788654
Издательство: Springer
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Цена: 8166 р.
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Описание: The theory of group representations is a fundamental subject at the intersection of algebra, geometry and analysis, with innumerable applications in other domains of pure mathematics and in the physical sciences. This book offers an introduction to both the theory of group representations and its applications in quantum mechanics.

Complex Semisimple Lie Algebras

Автор: Serre Jean-Pierre, Jones G.A.
Название: Complex Semisimple Lie Algebras
ISBN: 3540678271 ISBN-13(EAN): 9783540678274
Издательство: Springer
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Цена: 7424 р.
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Описание: These notes, already well known in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers including the basic classification theorem. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters introduce Cartan subalgebras, root systems, and representation theory. The theory is illustrated by using the example of sln; in particular, the representation theory of sl2 is completely worked out. The last chapter discusses the connection between Lie algebras and Lie groups, and is intended to guide the reader towards further study.

Introduction to Lie Algebras

Автор: Erdmann
Название: Introduction to Lie Algebras
ISBN: 1846280400 ISBN-13(EAN): 9781846280405
Издательство: Springer
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Цена: 5190 р.
Наличие на складе: Нет в наличии.

Описание: Lie groups and Lie algebras have become essential to many parts of mathematics and theoretical physics. This book provides an elementary introduction to Lie algebras based on a lecture course given to fourth-year undergraduates. It also acts as a self-study guide for graduate students and researchers in mathematics and theoretical physics.

Representations of Lie Algebras

Автор: Henderson
Название: Representations of Lie Algebras
ISBN: 1107653614 ISBN-13(EAN): 9781107653610
Издательство: Cambridge Academ
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Цена: 8314 р.
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Описание: This bold and refreshing approach to Lie algebras assumes only modest prerequisites (linear algebra up to the Jordan canonical form and a basic familiarity with groups and rings), yet it reaches a major result in representation theory: the highest-weight classification of irreducible modules of the general linear Lie algebra. The author's exposition is focused on this goal rather than aiming at the widest generality and emphasis is placed on explicit calculations with bases and matrices. The book begins with a motivating chapter explaining the context and relevance of Lie algebras and their representations and concludes with a guide to further reading. Numerous examples and exercises with full solutions are included. Based on the author's own introductory course on Lie algebras, this book has been thoroughly road-tested by advanced undergraduate and beginning graduate students and it is also suited to individual readers wanting an introduction to this important area of mathematics.

Representations of *-Algebras, Locally Compact Groups, and Banach

Автор: J. M.G. Fell
Название: Representations of *-Algebras, Locally Compact Groups, and Banach
ISBN: 0122527216 ISBN-13(EAN): 9780122527210
Издательство: Elsevier Science
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Цена: 8160 р.
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Описание: This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowle

Metamorphoses of Hamiltonian Systems with Symmetries

Автор: Efstathiou Konstantinos
Название: Metamorphoses of Hamiltonian Systems with Symmetries
ISBN: 354024316X ISBN-13(EAN): 9783540243168
Издательство: Springer
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Цена: 5190 р.
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Описание: Modern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems. The parametric nature of these examples leads naturally to the study of the major qualitative changes of such systems (metamorphoses) as the parameters are varied. The symmetries of these systems, discrete or continuous, exact or approximate, are used to simplify the problem through a number of mathematical tools and techniques like normalization and reduction. The book moves gradually from finding relative equilibria using symmetry, to the Hamiltonian Hopf bifurcation and its relation to monodromy and, finally, to generalizations of monodromy.

Introduction to Lie Algebras and Representation Theory

Автор: Humphreys
Название: Introduction to Lie Algebras and Representation Theory
ISBN: 0387900535 ISBN-13(EAN): 9780387900537
Издательство: Springer
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Цена: 7863 р.
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Описание: Introduces the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. Here, a good knowledge of linear algebra is presupposed, as well as some acquaintance with the methods of abstract algebra.

Lie Algebras: Theory and Algorithms,56

Автор: W.A. de Graaf
Название: Lie Algebras: Theory and Algorithms,56
ISBN: 0444501169 ISBN-13(EAN): 9780444501165
Издательство: Elsevier Science
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Цена: 16484 р.
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Описание: Aims to give an account of the algorithms for calculating with finite-dimensional Lie algebras; and to provide an introduction into the theory of finite-dimensional Lie algebras.

Elements of Mathematics / Lie Groups and Lie Algebras: Chapters 7-9

Автор: Bourbaki Nicolas, Pressley A.N.
Название: Elements of Mathematics / Lie Groups and Lie Algebras: Chapters 7-9
ISBN: 3540434054 ISBN-13(EAN): 9783540434054
Издательство: Springer
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Цена: 14843 р.
Наличие на складе: Нет в наличии.

Описание: This is the English translation of Bourbaki's text Groupes et AlgГЁbres de Lie, Chapters 7 to 9. It completes the previously published translations of Chapters 1 to 3 (3-540-64242-0) and 4 to 6 (3-540-42650-7) by covering the structure and representation theory of semi-simple Lie algebras and compact Lie groups. Chapter 7 deals with Cartan subalgebras of Lie algebras, regular elements and conjugacy theorems. Chapter 8 begins with the structure of split semi-simple Lie algebras and their root systems. It goes on to describe the finite-dimensional modules for such algebras, including the character formula of Hermann Weyl. It concludes with the theory of Chevalley orders. Chapter 9 is devoted to the theory of compact Lie groups, beginning with a discussion of their maximal tori, root systems and Weyl groups. It goes on to describe the representation theory of compact Lie groups, including the application of integration to establish Weyl's formula in this context. The chapter concludes with a discussion of the actions of compact Lie groups on manifolds. The nine chapters together form the most comprehensive text available on the theory of Lie groups and Lie algebras.


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