Basic Theory of Algebraic Groups and Lie Algebras, G. P. Hochschild
Автор: Patrice Tauvel; Rupert W. T. Yu Название: Lie Algebras and Algebraic Groups ISBN: 3642063330 ISBN-13(EAN): 9783642063336 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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
Автор: Tonny A. Springer Название: Jordan Algebras and Algebraic Groups ISBN: 3540636323 ISBN-13(EAN): 9783540636328 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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."
Автор: Daniel Scott Farley; Ivonne Johanna Ortiz Название: Algebraic K-theory of Crystallographic Groups ISBN: 3319081527 ISBN-13(EAN): 9783319081526 Издательство: Springer Рейтинг: Цена: 4890.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the algebraic K-theory of a group using a generalized homology theory.
Автор: F. van Oystaeyen; A. Verschoren Название: Brauer Groups in Ring Theory and Algebraic Geometry ISBN: 3540112162 ISBN-13(EAN): 9783540112167 Издательство: Springer Рейтинг: Цена: 5583.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Wolfgang L?ck Название: Transformation Groups and Algebraic K-Theory ISBN: 3540518460 ISBN-13(EAN): 9783540518464 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Focuses on the relation between transformation groups and algebraic K-theory. This title studies the algebraic K-theory of modules over a category and applies to the fundamental category of G-space. It collects basic details of the theory of transformation groups that are hard to find in the literature.
Автор: Stefaan Caenepeel Название: Brauer Groups, Hopf Algebras and Galois Theory ISBN: 1402003463 ISBN-13(EAN): 9781402003462 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Devoted to the Brauer group of a commutative ring and related invariants. This volume includes the development of the theory of Grothendieck topologies and etale cohomology. It has a discussion of topics such as Gabber`s theorem and the theory of Taylor`s big Brauer group of algebras. It also offers the development of the Galois theory.
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: Mark Adler; Pierre van Moerbeke; Pol Vanhaecke Название: Algebraic Integrability, Painlev? Geometry and Lie Algebras ISBN: 3642061281 ISBN-13(EAN): 9783642061288 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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: Alfonso Di Bartolo; Giovanni Falcone; Peter Plauma Название: Algebraic Groups and Lie Groups with Few Factors ISBN: 3540785833 ISBN-13(EAN): 9783540785835 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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