Periodic Locally Compact Groups: A Study of a Class of Totally Disconnected Topological Groups, Herfort Wolfgang, Hofmann Karl H., Russo Francesco G.

Автор: Michel Enock; A. Connes; A. Ocneanu; Jean-Marie Sc
Название: Kac Algebras and Duality of Locally Compact Groups
ISBN: 3540547452 ISBN-13(EAN): 9783540547457
Издательство: Springer
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Цена: 18161.00 р.
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Описание: Develops the category of Kac algebras that answers the original duality problem. This book is of interest to researchers working in quantum groups, particularly those interested in the approach by Lie groups and Lie algebras or by non-commutative geometry, and more generally also to those working in C* algebras or theoretical physics.

Автор: Monod, Nicolas (ecole Polytechnique Federale De Lausanne)
Название: New directions in locally compact groups
ISBN: 1108413129 ISBN-13(EAN): 9781108413121
Издательство: Cambridge Academ
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Цена: 13147.00 р.
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Описание: This collection of expository articles provides an overview of the major renaissance happening today in the study of locally compact groups and their many connections to other areas of mathematics, including geometric group theory, measured group theory and rigidity of lattices. For researchers and graduate students.

Автор: Michel Enock; A. Connes; A. Ocneanu; Jean-Marie Sc
Название: Kac Algebras and Duality of Locally Compact Groups
ISBN: 3642081282 ISBN-13(EAN): 9783642081286
Издательство: Springer
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Цена: 18161.00 р.
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Описание: This book deals with the theory of Kac algebras and their dual- ity, elaborated independently by M. Enock and J . -M. Schwartz, and by G. . Kac and L. . Vajnermann in the seventies. The sub- ject has now reached a state of maturity which fully justifies the publication of this book. Also, in recent times, the topic of "quantum groups" has become very fashionable and attracted the attention of more and more mathematicians and theoret- ical physicists. One is still missing a good characterization of quantum groups among Hopf algebras, similar to the character- ization of Lie groups among locally compact groups. It is thus extremely valuable to develop the general theory, as this book does, with emphasis on the analytical aspects of the subject instead of the purely algebraic ones. The original motivation of M. Enock and J. -M. Schwartz can be formulated as follows: while in the Pontrjagin duality theory of locally compact abelian groups a perfect symmetry exists between a group and its dual, this is no longer true in the various duality theorems of T. Tannaka, M. G. Krein, W. F. Stinespring . . . dealing with non abelian locally compact groups. The aim is then, in the line proposed by G. . Kac in 1961 and M. Takesaki in 1972, to find a good category of Hopf algebras, containing the category of locally compact groups and fulfilling a perfect duality.

Автор: B. Hartley; G.M. Seitz; A.V. Borovik; R.M. Bryant
Название: Finite and Locally Finite Groups
ISBN: 0792336690 ISBN-13(EAN): 9780792336693
Издательство: Springer
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Цена: 36197.00 р.
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Описание: Proceedings of the NATO Advanced Study Institute, Istanbul, Turkey, 14--27 August 1994