The Classical Groups and K-Theory, Alexander J. Hahn; J. Dieudonne; O.Timothy O`Meara
Автор: Alexander J. Hahn; J. Dieudonne; O.Timothy O`Meara Название: The Classical Groups and K-Theory ISBN: 3642057373 ISBN-13(EAN): 9783642057373 Издательство: Springer Рейтинг: Цена: 20956.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It is a great satisfaction for a mathematician to witness the growth and expansion of a theory in which he has taken some part during its early years. When H. Weyl coined the words "classical groups," foremost in his mind were their connections with invariant theory, which his famous book helped to revive. Although his approach in that book was deliberately algebraic, his interest in these groups directly derived from his pioneering study of the special case in which the scalars are real or complex numbers, where for the first time he injected Topology into Lie theory. But ever since the definition of Lie groups, the analogy between simple classical groups over finite fields and simple classical groups over IR or C had been observed, even if the concept of "simplicity" was not quite the same in both cases. With the discovery of the exceptional simple complex Lie algebras by Killing and E. Cartan, it was natural to look for corresponding groups over finite fields, and already around 1900 this was done by Dickson for the exceptional Lie algebras G and E - However, a deep reason for this 2 6 parallelism was missing, and it is only Chevalley who, in 1955 and 1961, discovered that to each complex simple Lie algebra corresponds, by a uniform process, a group scheme (fj over the ring Z of integers, from which, for any field K, could be derived a group (fj(K).
Автор: Burness Название: Classical Groups, Derangements and Primes ISBN: 1107629446 ISBN-13(EAN): 9781107629448 Издательство: Cambridge Academ Рейтинг: Цена: 9186.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides an accessible graduate-level introduction to the finite classical groups and gives the first unified account of conjugacy and geometry of elements of prime order. The authors also provide a detailed discussion of derangements, making this book an essential resource for all researchers interested in permutation groups.
Автор: Augustin Banyaga Название: The Structure of Classical Diffeomorphism Groups ISBN: 0792344758 ISBN-13(EAN): 9780792344759 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Introduces and explains the main techniques and ideas in the study of the structure of diffeomorphism groups. This book offers proof of Thurston`s theorem on the simplicity of some diffeomorphism groups. It outlines the Mather-Thurston theory relating foliations with diffeomorphism groups.
Автор: A. V. Zelevinsky Название: Representations of Finite Classical Groups ISBN: 3540108246 ISBN-13(EAN): 9783540108245 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Sheng Gong Название: Harmonic Analysis on Classical Groups ISBN: 3642634982 ISBN-13(EAN): 9783642634987 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: iO The simplest example of compact groups is {e }, on which there exists an orthonormal system inO { e }, n = 0, +/- 1, +/- 2 , ... , namely 1 J2" ." iO An immediate extension for {e } is group U", which consists of all n X n square matrices U satisfying ufj` = I, where fj` denotes the conjugate transpose matrix of U.
Автор: Golubitsky, Schaffer, Название: Singularities and groups in bifurcation theory ISBN: 0387966528 ISBN-13(EAN): 9780387966526 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
