Compact Lie groups and their representations, D.P.Zhelobenko
Автор: T. Br?cker; T.tom Dieck Название: Representations of Compact Lie Groups ISBN: 364205725X ISBN-13(EAN): 9783642057250 Издательство: Springer Рейтинг: Цена: 8378.00 р. 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: Hermann Weyl. Название: The Classical Groups: Their Invariants and Representations ISBN: 0691057567 ISBN-13(EAN): 9780691057569 Издательство: Wiley Рейтинг: Цена: 14573.00 р. 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: 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: 26122.00 р. 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: 7286.00 р. 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: V.S. Varadarajan Название: Lie Groups, Lie Algebras, and Their Representations ISBN: 1461270162 ISBN-13(EAN): 9781461270164 Издательство: Springer Рейтинг: Цена: 9357.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: R.W. Carter; J. Saxl Название: Algebraic Groups and their Representations ISBN: 0792352920 ISBN-13(EAN): 9780792352921 Издательство: Springer Рейтинг: Цена: 21661.00 р. 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: Anatoli Klimyk; Konrad Schm?dgen Название: Quantum Groups and Their Representations ISBN: 3642646018 ISBN-13(EAN): 9783642646010 Издательство: Springer Рейтинг: Цена: 14365.00 р. 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: Francois Digne, Jean Michel Название: Representations of Finite Groups of Lie Type ISBN: 1108481485 ISBN-13(EAN): 9781108481489 Издательство: Cambridge Academ Рейтинг: Цена: 17424.00 р. 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: 23285.00 р. 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.
Автор: R.W. Carter; J. Saxl Название: Algebraic Groups and their Representations ISBN: 0792352513 ISBN-13(EAN): 9780792352518 Издательство: Springer Рейтинг: Цена: 31305.00 р. 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.
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