Автор: A.L. Onishchik; J. Danskin; B.L. Feigin; E.B. Vinb Название: Lie Groups and Lie Algebras II ISBN: 3642080715 ISBN-13(EAN): 9783642080715 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A systematic survey of all the basic results on the theory of discrete subgroups of Lie groups, presented in a convenient form for users. The book makes the theory accessible to a wide audience, and will be a standard reference for many years to come.
Автор: D.M. Gallo; R.M. Porter Название: Kleinian Groups and Related Topics ISBN: 3540119752 ISBN-13(EAN): 9783540119753 Издательство: Springer Рейтинг: Цена: 23280.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Laurent Decreusefond; Bernt Oksendal; Ali S. ?st?n Название: Stochastic Analysis and Related Topics VII ISBN: 1461266386 ISBN-13(EAN): 9781461266389 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A thorough survey is given of stochas- tic integration with respect to the fractional Brownian motion, as well as Stokes` formula for the Brownian sheet, and a new version of the log- Sobolev inequality on the Wiener space.
Автор: Meinrenken, Eckhard Название: Clifford algebras and lie theory ISBN: 3642544665 ISBN-13(EAN): 9783642544668 Издательство: Springer Рейтинг: Цена: 69870.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book covers the basics of Clifford algebras and spinor modules, with applications to the theory of Lie groups. Topics include Petracci`s proof of the Poincare-Birkhoff-Witt theorem, quantized Weil algebras, Duflo`s theorem for quadratic Lie algebras and more.
Автор: Glen Jones; Jean-Pierre Serre Название: Complex Semisimple Lie Algebras ISBN: 0387965696 ISBN-13(EAN): 9780387965697 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: These are indicated by an asterisk, and the proofs can be found in Bourbaki, Groupes et Algebres de Lie, Paris, Hermann, 1960-1975, Chapters IV-VIII. A final chapter shows, without proof, how to pass from Lie algebras to Lie groups (complex-and also compact).
Автор: Hall Brian Название: Lie Groups, Lie Algebras, and Representations ISBN: 3319134663 ISBN-13(EAN): 9783319134666 Издательство: Springer Рейтинг: Цена: 50810.00 T Наличие на складе: Невозможна поставка. Описание:
This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject.
In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including:
a treatment of the Baker-Campbell-Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras
motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C)
an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras
a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments
The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincar -Birkhoff-Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula.
Review of the first edition
This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended.
-- The Mathematical Gazette
Автор: V.V. Gorbatsevich; A.L. Onishchik; T. Kozlowski; A Название: Lie Groups and Lie Algebras I ISBN: 3540186972 ISBN-13(EAN): 9783540186977 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: From the reviews: "..., the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject.
Автор: V.V. Gorbatsevich; A.L. Onishchik; V. Minachin; E. Название: Lie Groups and Lie Algebras III ISBN: 3540546839 ISBN-13(EAN): 9783540546832 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A comprehensive and modern account of the structure and classification of Lie groups and finite-dimensional Lie algebras, by internationally known specialists in the field. This Encyclopaedia volume will be immensely useful to graduate students in differential geometry, algebra and theoretical physics.
Автор: V.V. Gorbatsevich; A.L. Onishchik; T. Kozlowski; A Название: Lie Groups and Lie Algebras I ISBN: 354061222X ISBN-13(EAN): 9783540612223 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: With an introduction to the theory of Lie groups and Lie algebras in the first part, this title deals with Lie transformation groups, and covers the research results. It is written for graduate students and researchers in mathematics and theoretical physics.
Автор: Sh. Ayupov; Abdugafur Rakhimov; Shukhrat Usmanov Название: Jordan, Real and Lie Structures in Operator Algebras ISBN: 079234684X ISBN-13(EAN): 9780792346845 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Develops an approach to the study of infinite-dimensional Jordan and Lie algebras and real associative - algebras of operators on a Hilbert space. This volume is useful for postgraduate students and specialists in the field of operator algebras, and algebraists whose work involves nonassociative and infinite-dimensional rings.
Автор: A.L. Onishchik; J. Danskin; B.L. Feigin; E.B. Vinb Название: Lie Groups and Lie Algebras II ISBN: 3540505857 ISBN-13(EAN): 9783540505853 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A systematic survey of all the basic results on the theory of discrete subgroups of Lie groups, presented in a convenient form for users. The book makes the theory accessible to a wide audience, and will be a standard reference for many years to come.
Автор: Francesco Iachello Название: Lie Algebras and Applications ISBN: 3642071627 ISBN-13(EAN): 9783642071621 Издательство: Springer Рейтинг: Цена: 65290.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book, designed for advanced graduate students and post-graduate researchers, introduces Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons.
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