Lie Groups and Lie Algebras I, V.V. Gorbatsevich; A.L. Onishchik; T. Kozlowski; A

Автор: Hall Brian
Название: Lie Groups, Lie Algebras, and Representations
ISBN: 3319134663 ISBN-13(EAN): 9783319134666
Издательство: Springer
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Цена: 50810.00 T
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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: Olver
Название: Applications of Lie Groups to Differential Equations
ISBN: 0387950001 ISBN-13(EAN): 9780387950006
Издательство: Springer
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Цена: 45610.00 T
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Описание: A solid introduction to applications of Lie groups to differential equations which have proved to be useful in practice. Following an exposition of the applications, the book develops the underlying theory, with many of the topics presented in a novel way, emphasising explicit examples and computations.

Автор: Michler; Ringel
Название: Representation Theory of Finite Groups and Finite-Dimensional Algebras
ISBN: 3764326042 ISBN-13(EAN): 9783764326043
Издательство: Springer
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Цена: 107130.00 T
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Описание: From April 1, 1984 until March 31, 1991 the Deutsche Forschungsgemeinschaft has sponsored the project "Representation Theory of Finite Groups and Finite Di- mensional Algebras".

Автор: Francesco Iachello
Название: Lie Algebras and Applications
ISBN: 3642071627 ISBN-13(EAN): 9783642071621
Издательство: Springer
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Цена: 65290.00 T
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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.

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
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Цена: 130430.00 T
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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: V.V. Gorbatsevich; A.L. Onishchik; V. Minachin; E.
Название: Lie Groups and Lie Algebras III
ISBN: 3540546839 ISBN-13(EAN): 9783540546832
Издательство: Springer
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Цена: 130430.00 T
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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
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Цена: 88500.00 T
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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: 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
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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: V.V. Gorbatsevich; A.L. Onishchik; V. Minachin; E.
Название: Lie Groups and Lie Algebras III
ISBN: 3642081207 ISBN-13(EAN): 9783642081200
Издательство: Springer
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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: Meinrenken, Eckhard
Название: Clifford algebras and lie theory
ISBN: 3642544665 ISBN-13(EAN): 9783642544668
Издательство: Springer
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Цена: 69870.00 T
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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
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Цена: 74530.00 T
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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: Sh. Ayupov; Abdugafur Rakhimov; Shukhrat Usmanov
Название: Jordan, Real and Lie Structures in Operator Algebras
ISBN: 079234684X ISBN-13(EAN): 9780792346845
Издательство: Springer
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Цена: 88500.00 T
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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.