Lie Algebras and Related Topics, D. Winter

Автор: Glen Jones; Jean-Pierre Serre
Название: Complex Semisimple Lie Algebras
ISBN: 0387965696 ISBN-13(EAN): 9780387965697
Издательство: Springer
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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: 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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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: Francesco Iachello
Название: Lie Algebras and Applications
ISBN: 3642071627 ISBN-13(EAN): 9783642071621
Издательство: Springer
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Цена: 9794.00 р.
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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: D.M. Gallo; R.M. Porter
Название: Kleinian Groups and Related Topics
ISBN: 3540119752 ISBN-13(EAN): 9783540119753
Издательство: Springer
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Цена: 3492.00 р.
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Автор: Laurent Decreusefond; Bernt Oksendal; Ali S. ?st?n
Название: Stochastic Analysis and Related Topics VII
ISBN: 1461266386 ISBN-13(EAN): 9781461266389
Издательство: Springer
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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
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Цена: 10480.00 р.
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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: 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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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: V.V. Gorbatsevich; A.L. Onishchik; T. Kozlowski; A
Название: Lie Groups and Lie Algebras I
ISBN: 3540186972 ISBN-13(EAN): 9783540186977
Издательство: Springer
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Цена: 19564.00 р.
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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
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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; V. Minachin; E.
Название: Lie Groups and Lie Algebras III
ISBN: 3642081207 ISBN-13(EAN): 9783642081200
Издательство: Springer
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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: 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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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.

Автор: Glen Jones; Jean-Pierre Serre
Название: Complex Semisimple Lie Algebras
ISBN: 364263222X ISBN-13(EAN): 9783642632228
Издательство: Springer
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Описание: These short notes, already well-known in their original French edition, present the basic theory of semisimple Lie algebras over the complex numbers. The last chapter discusses the connection between Lie algebras, complex groups and compact groups.