Lie Groups and Lie Algebras, B.P. Komrakov; I.S. Krasil`shchik; G.L. Litvinov;

Автор: Ibragimov Nail H.
Название: Transformation Groups and Lie Algebras
ISBN: 9814460842 ISBN-13(EAN): 9789814460842
Издательство: World Scientific Publishing
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Цена: 40130.00 T
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Описание: This book is based on the extensive experience of teaching for mathematics, physics and engineering students in Russia, USA, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics. The methods of local Lie groups discussed in the book provide universal and effective method for solving nonlinear differential equations analytically. Introduction to approximate transformation groups also contained in the book helps to develop skills in constructing approximate solutions for differential equations with a small parameter.

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
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: 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
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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: D.H. Sattinger; O.L. Weaver
Название: Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics
ISBN: 0387962409 ISBN-13(EAN): 9780387962405
Издательство: Springer
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Цена: 111790.00 T
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Описание: A text on Lie groups and algebras and their roles in diverse areas of pure and applied mathematics and physics. It includes examples that illustrate the role of Lie groups and algebras in various fields of mathematics and physics: elementary particle physics, Riemannian geometry, completely integrable systems, and bifurcation theory.

Автор: Y. Bahturin
Название: Groups, Rings, Lie and Hopf Algebras
ISBN: 1402012209 ISBN-13(EAN): 9781402012204
Издательство: Springer
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Цена: 88500.00 T
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Описание: Composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie and Hopf Algebras", which was held at the Memorial University of Newfoundland, St John`s, NF, Canada. This work is suitable for researchers, graduate and senior undergraduate students in mathematics and its applications.

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.