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The Classical Groups and K-Theory, Alexander J. Hahn; J. Dieudonne; O.Timothy O`Meara


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Автор: Alexander J. Hahn; J. Dieudonne; O.Timothy O`Meara
Название:  The Classical Groups and K-Theory
ISBN: 9783642057373
Издательство: Springer
Классификация:



ISBN-10: 3642057373
Обложка/Формат: Paperback
Страницы: 578
Вес: 0.82 кг.
Дата издания: 04.12.2010
Серия: Grundlehren der mathematischen Wissenschaften
Язык: English
Размер: 234 x 156 x 31
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
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).


Classical Groups, Derangements and Primes

Автор: Burness
Название: Classical Groups, Derangements and Primes
ISBN: 1107629446 ISBN-13(EAN): 9781107629448
Издательство: Cambridge Academ
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Цена: 9186.00 р.
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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.

A Classical Introduction to Modern Number Theory

Автор: Kenneth Ireland; Michael Rosen
Название: A Classical Introduction to Modern Number Theory
ISBN: 038797329X ISBN-13(EAN): 9780387973296
Издательство: Springer
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Цена: 9916.00 р.
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Описание: Details the historical development of the modern number theory. This text provides wide-ranging coverage of significant results with comparatively elementary proofs. It contains chapters that provide a proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of progress on the arithmetic of elliptic curves.

Additive Number Theory The Classical Bases

Автор: Melvyn B. Nathanson
Название: Additive Number Theory The Classical Bases
ISBN: 1441928480 ISBN-13(EAN): 9781441928481
Издательство: Springer
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Цена: 12577.00 р.
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Classical Topology and Combinatorial Group Theory

Автор: John Stillwell
Название: Classical Topology and Combinatorial Group Theory
ISBN: 1461287499 ISBN-13(EAN): 9781461287490
Издательство: Springer
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Цена: 9357.00 р.
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The Classical Groups and K-Theory

Автор: Alexander J. Hahn; J. Dieudonne; O.Timothy O`Meara
Название: The Classical Groups and K-Theory
ISBN: 3540177582 ISBN-13(EAN): 9783540177586
Издательство: Springer
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Цена: 20956.00 р.
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Описание: Gives a comprehensive account of the basic algebraic properties of the classical groups over rings. This book also includes a revised and expanded version of Dieudonne`s classical theory over division rings. It analyses congruence subgroups, normal subgroups and quotient groups, and investigates connections with linear and hermitian K-theory.

Representations of Finite Classical Groups

Автор: A. V. Zelevinsky
Название: Representations of Finite Classical Groups
ISBN: 3540108246 ISBN-13(EAN): 9783540108245
Издательство: Springer
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Цена: 3487.00 р.
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Classical Theory of Algebraic Numbers

Автор: Paulo Ribenboim
Название: Classical Theory of Algebraic Numbers
ISBN: 1441928707 ISBN-13(EAN): 9781441928702
Издательство: Springer
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Цена: 10480.00 р.
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Описание: This book has a clear and thorough exposition of the classical theory of algebraic numbers, and contains a large number of exercises as well as worked out numerical examples. The introduction is a recapitulation of results about principal ideal domains, unique factorization domains and commutative fields. Part one is devoted to residue classes and quadratic residues. In part two one finds the study of algebraic integers, ideals, units, class numbers, the theory of decomposition, inertia and ramification of ideals. part three is devoted to Kummers theory of cyclotomic fields, and includes Bernoulli numbers and the proof of Fermats Last Theorem for regular prime exponents. Finally, in part four, the emphasis is on analytical methods and it includes Dirichlets Theorem on primes in arithmetic progressions, the theorem of Chebotarev and class number formulas. A careful study of this book will provide a solid background to the learning of more recent topics, as suggested at the end of the book.

Classical Descriptive Set Theory

Автор: Alexander Kechris
Название: Classical Descriptive Set Theory
ISBN: 1461286921 ISBN-13(EAN): 9781461286929
Издательство: Springer
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Цена: 8378.00 р.
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Описание: Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts to present a largely balanced approach, which combines many elements of the different traditions of the subject. It includes a wide variety of examples, exercises (over 400), and applications, in order to illustrate the general concepts and results of the theory.
This text provides a first basic course in classical descriptive set theory and covers material with which mathematicians interested in the subject for its own sake or those that wish to use it in their field should be familiar. Over the years, researchers in diverse areas of mathematics, such as logic and set theory, analysis, topology, probability theory, etc., have brought to the subject of descriptive set theory their own intuitions, concepts, terminology and notation.

The Theory of Classical Valuations

Автор: Paulo Ribenboim
Название: The Theory of Classical Valuations
ISBN: 1461268141 ISBN-13(EAN): 9781461268147
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Valuation theory is used constantly in algebraic number theory and field theory, and is currently gaining considerable research interest.

Harmonic Analysis on Classical Groups

Автор: Sheng Gong
Название: Harmonic Analysis on Classical Groups
ISBN: 3642634982 ISBN-13(EAN): 9783642634987
Издательство: Springer
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Цена: 6986.00 р.
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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.

Singularities and groups in bifurcation theory

Автор: Golubitsky, Schaffer,
Название: Singularities and groups in bifurcation theory
ISBN: 0387966528 ISBN-13(EAN): 9780387966526
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Preface.- Contents of Vol. I.- Introduction.- Group Theoretic Preliminaries.- Symmetry-Breaking in Steady-State Bifurcation.- Case Study 4: The Planar BГ©nard Problem.- Equivariant Normal Forms.- Equivariant Unfolding Theory.- Case Study 5: The Traction Problem for Mooney-Rivlin Material.- Symmetry-Breaking in Hopf Bifurcation.- Hopf Bifurcation with 0(2) Symmetry.- Further Examples of Hopf Bifurcation with Symmetry.- Mode Interactions.- Mode Interactions with 0(2) Symmetry.- Case Study 6: The Taylor-Couette System.- Bibliography.- Index.


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