Compact Lie groups and their representations, D.P.Zhelobenko
Автор: V.S. Varadarajan Название: Lie Groups, Lie Algebras, and Their Representations ISBN: 1461270162 ISBN-13(EAN): 9781461270164 Издательство: Springer Рейтинг: Цена: 62380.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Hermann Weyl. Название: The Classical Groups: Their Invariants and Representations ISBN: 0691057567 ISBN-13(EAN): 9780691057569 Издательство: Wiley Рейтинг: Цена: 97150.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Discusses the symmetric, linear, orthogonal, and symplectic groups and determines their invariants and representations. This book covers topics such as matrix algebras, semigroups, commutators, and spinors, which help in understanding the group-theoretic structure of quantum mechanics.
Автор: T. Br?cker; T.tom Dieck Название: Representations of Compact Lie Groups ISBN: 364205725X ISBN-13(EAN): 9783642057250 Издательство: Springer Рейтинг: Цена: 55850.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is based on several courses given by the authors since 1966. It introduces the reader to the representation theory of compact Lie groups. We have chosen a geometrical and analytical approach since we feel that this is the easiest way to motivate and establish the theory and to indicate relations to other branches of mathematics. Lie algebras, though mentioned occasionally, are not used in an essential way. The material as well as its presentation are classical; one might say that the foundations were known to Hermann Weyl at least 50 years ago. Prerequisites to the book are standard linear algebra and analysis, including Stokes' theorem for manifolds. The book can be read by German students in their third year, or by first-year graduate students in the United States. Generally speaking the book should be useful for mathematicians with geometric interests and, we hope, for physicists. At the end of each section the reader will find a set of exercises. These vary in character: Some ask the reader to verify statements used in the text, some contain additional information, and some present examples and counter- examples. We advise the reader at least to read through the exercises.
Автор: Ion Colojoara, Aurelian Gheondea Название: Lectures on Representations of Locally Compact Groups ISBN: 6068443108 ISBN-13(EAN): 9786068443102 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 57290.00 T Наличие на складе: Невозможна поставка. Описание: This is a modern presentation of the theory of representations of locally compact groups. In a small number of pages, the reader can get some of the most important theorems on this subject. Many examples are provided.Highlights of the volume include:(1) A generous introduction explaining the origins of group theory and their representations, the motivation for the main problems in this theory, and the deep connections with modern physics.(2) A solid presentation of the theory of topological groups and of Lie groups.(3) Two proofs of the existence of Haar measures.(4) The detailed study of continuous representations on general locally convex spaces, with an emphasis on unitary representations of compact groups on Hilbert spaces.(5) A careful presentation of induced representations on locally convex spaces and G. W. Mackey's Theorem of Imprimitivity.About half of the results included in this volume appear for the first time in a book, while the theory of $p$-induced representations on locally convex spaces is new. To facilitate reading, several appendices present the concepts and basic results from general topology, differential manifolds, abstract measures and integration, topological vector spaces, Banach spaces, Banach algebras, $C^*$-algebras, and operator theory on Hilbert spaces.
Автор: R.W. Carter; J. Saxl Название: Algebraic Groups and their Representations ISBN: 0792352920 ISBN-13(EAN): 9780792352921 Издательство: Springer Рейтинг: Цена: 144410.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume contains articles by 20 leading workers in the field of algebraic groups and related finite groups. Topics include representation theory, canonical bases and endomorphism algebras.
Автор: R.W. Carter; J. Saxl Название: Algebraic Groups and their Representations ISBN: 0792352513 ISBN-13(EAN): 9780792352518 Издательство: Springer Рейтинг: Цена: 208700.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Contains articles in the field of algebraic groups and related finite groups. This book includes articles on representation theory, tilting modules, canonical bases, endomorphism algebras, the symmetric group, the path model, homology bases, semisimplicity in prime characteristic, block theory, and Lusztig`s character formula.
Автор: Anatoli Klimyk; Konrad Schm?dgen Название: Quantum Groups and Their Representations ISBN: 3642646018 ISBN-13(EAN): 9783642646010 Издательство: Springer Рейтинг: Цена: 95770.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The invention of quantum groups is one of the outstanding achievements of mathematical physics and mathematics in the late twentieth century. The birth of the new theory and its rapid development are results of a strong interrelation between mathematics and physics. Quantu groups arose in the work of L.D. Faddeev and the Leningrad school on the inverse scattering method in order to solve integrable models. The algebra Uq(sh) appeared first in 1981 in a paper by P.P. Kulish and N.Yu. Reshetikhin on the study of integrable XYZ models with highest spin. Its Hopf algebra structure was discovered later by E.K. Sklyanin. A major event was the discovery by V.G. Drinfeld and M. Jimbo around 1985 of a class of Hopf algebras which can be considered as one-parameter deforma- tions of universal enveloping algebras of semisimple complex Lie algebras. These Hopf algebras will be called Drinfeld-Jimbo algebras in this book. Al- most simultaneously, S.L. Woronowicz invented the quantum group SUq(2) and developed his theory of compact quantum matrix groups. An algebraic approach to quantized coordinate algebras was given about this time by Yu.I. Manin.
Автор: Peter Woit Название: Quantum Theory, Groups and Representations ISBN: 3319646109 ISBN-13(EAN): 9783319646107 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Невозможна поставка. Описание: The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject.
Автор: J.A. Wolf; M. Cahen; M. de Wilde Название: Harmonic Analysis and Representations of Semisimple Lie Groups ISBN: 9027710422 ISBN-13(EAN): 9789027710420 Издательство: Springer Рейтинг: Цена: 174150.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Francois Digne, Jean Michel Название: Representations of Finite Groups of Lie Type ISBN: 1108722628 ISBN-13(EAN): 9781108722629 Издательство: Cambridge Academ Рейтинг: Цена: 48570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The original edition of this book, written for beginning graduate students, was the first elementary treatment of representation theory of finite groups of Lie type in book form. This second edition features new material to reflect the continuous evolution of the subject, including chapters on Hecke algebras and Green functions.
Автор: Didier Arnal, Bradley Currey Название: Representations of Solvable Lie Groups: Basic Theory and Examples ISBN: 1108428096 ISBN-13(EAN): 9781108428095 Издательство: Cambridge Academ Рейтинг: Цена: 155230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph answers the need for a unified account of the basic theory of unitary group representations, combined with new results, in a style that is broadly accessible for both graduate students and researchers.
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