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Lie Algebras and Algebraic Groups, Patrice Tauvel; Rupert W. T. Yu


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Автор: Patrice Tauvel; Rupert W. T. Yu
Название:  Lie Algebras and Algebraic Groups
ISBN: 9783642063336
Издательство: Springer
Классификация: ISBN-10: 3642063330
Обложка/Формат: Paperback
Страницы: 656
Вес: 0.93 кг.
Дата издания: 21.10.2010
Серия: Springer Monographs in Mathematics
Язык: English
Размер: 234 x 156 x 34
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The theory of groups and Lie algebras is interesting for many reasons. In the mathematical viewpoint, it employs at the same time algebra, analysis and geometry. On the other hand, it intervenes in other areas of science, in particularindi?erentbranchesofphysicsandchemistry.Itisanactivedomain of current research. Oneofthedi?cultiesthatgraduatestudentsormathematiciansinterested in the theory come across, is the fact that the theory has very much advanced, andconsequently, theyneedtoreadavastamountofbooksandarticlesbefore they could tackle interesting problems. One of the goals we wish to achieve with this book is to assemble in a single volume the basis of the algebraic aspects of the theory of groups and Lie algebras. More precisely, we have presented the foundation of the study of ?nite-dimensional Lie algebras over an algebraically closed ?eld of characteristic zero. Here, the geometrical aspect is fundamental, and consequently, we need to use the notion of algebraic groups. One of the main di?erences between this book and many other books on the subject is that we give complete proofs for the relationships between algebraic groups and Lie algebras, instead of admitting them. We have also given the proofs of certain results on commutative al- bra and algebraic geometry that we needed so as to make this book as se- contained as possible. We believe that in this way, the book can be useful for both graduate students and mathematicians working in this area. Let us give a brief description of the material treated in this book


Basic Theory of Algebraic Groups and Lie Algebras

Автор: G. P. Hochschild
Название: Basic Theory of Algebraic Groups and Lie Algebras
ISBN: 1461381169 ISBN-13(EAN): 9781461381167
Издательство: Springer
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Цена: 11173.00 р.
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Jordan Algebras and Algebraic Groups

Автор: Tonny A. Springer
Название: Jordan Algebras and Algebraic Groups
ISBN: 3540636323 ISBN-13(EAN): 9783540636328
Издательство: Springer
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Цена: 6986.00 р.
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Описание: [...] Springer`s work will be of service to research workers familiar with linear algebraic groups who find they need to know something about Jordan algebras and will provide Jordan algebraists with new techniques and a new approach to finite-dimensional algebras over fields."

Algebraic Integrability, Painlev? Geometry and Lie Algebras

Автор: Mark Adler; Pierre van Moerbeke; Pol Vanhaecke
Название: Algebraic Integrability, Painlev? Geometry and Lie Algebras
ISBN: 3642061281 ISBN-13(EAN): 9783642061288
Издательство: Springer
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Цена: 19564.00 р.
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Описание: In the early 70's and 80's the field of integrable systems was in its prime youth: results and ideas were mushrooming all over the world. It was during the roaring 70's and 80's that a first version of the book was born, based on our research and on lectures which each of us had given. We owe many ideas to our colleagues Teruhisa Matsusaka and David Mumford, and to our inspiring graduate students (Constantin Bechlivanidis, Luc Haine, Ahmed Lesfari, Andrew McDaniel, Luis Piovan and Pol Vanhaecke). As it stood, our first version lacked rigor and precision, was rough, dis- connected and incomplete. . . In the early 90's new problems appeared on the horizon and the project came to a complete standstill, ultimately con- fined to a floppy. A few years ago, under the impulse of Pol Vanhaecke, the project was revived and gained real momentum due to his insight, vision and determination. The leap from the old to the new version is gigantic. The book is designed as a teaching textbook and is aimed at a wide read- ership of mathematicians and physicists, graduate students and professionals.

Lie Groups and Algebraic Groups

Автор: Arkadij L. Onishchik; Dimitry A. Leites; Ernest B.
Название: Lie Groups and Algebraic Groups
ISBN: 3642743366 ISBN-13(EAN): 9783642743368
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This book is based on the notes of the authors` seminar on algebraic and Lie groups held at the Department of Mechanics and Mathematics of Moscow University in 1967/68. In preparing this book we have completely rearranged these notes and added two new chapters: "Lie groups" and "Real semisimple Lie groups".

Algebraic Groups and Lie Groups with Few Factors

Автор: Alfonso Di Bartolo; Giovanni Falcone; Peter Plauma
Название: Algebraic Groups and Lie Groups with Few Factors
ISBN: 3540785833 ISBN-13(EAN): 9783540785835
Издательство: Springer
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Цена: 6282.00 р.
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Описание: Focuses on algebraic groups from a group theoretical point of view and compares the obtained results with the analogous issues in the theory of Lie groups. This work emphasizes the diversity of the nature of algebraic groups over fields of positive characteristic and over fields of characteristic zero.

Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics

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: 16769.00 р.
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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.

Lie Groups and Lie Algebras III

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: 19564.00 р.
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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.

Transformation Groups and Lie Algebras

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: 6019.00 р.
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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.

Cylindric-like Algebras and Algebraic Logic

Автор: Hajnal Andr?ka; Mikl?s Ferenczi; Istv?n N?meti
Название: Cylindric-like Algebras and Algebraic Logic
ISBN: 3642437990 ISBN-13(EAN): 9783642437991
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Algebraic logic is a subject in the interface between logic, algebra and geometry, it has strong connections with category theory and combinatorics.

Noncommutative Algebraic Geometry and Representations of Quantized Algebras

Автор: A. Rosenberg
Название: Noncommutative Algebraic Geometry and Representations of Quantized Algebras
ISBN: 9048145775 ISBN-13(EAN): 9789048145775
Издательство: Springer
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Цена: 28790.00 р.
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Lie Groups, Lie Algebras, and Their Representations

Автор: V.S. Varadarajan
Название: Lie Groups, Lie Algebras, and Their Representations
ISBN: 1461270162 ISBN-13(EAN): 9781461270164
Издательство: Springer
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Цена: 9357.00 р.
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Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space

Автор: P. de la Harpe
Название: Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space
ISBN: 3540059849 ISBN-13(EAN): 9783540059844
Издательство: Springer
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Цена: 3487.00 р.
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