Locally Analytic Vectors in Representations of Locally $p$-adic Analytic Groups, Matthew J. Emerton

Автор: Ion Colojoara, Aurelian Gheondea
Название: Lectures on Representations of Locally Compact Groups
ISBN: 6068443108 ISBN-13(EAN): 9786068443102
Издательство: Mare Nostrum (Eurospan)
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Цена: 57290.00 T
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Описание: This is a modern presentation of the theory of representations of locally compact groups. In a small number of pages, the reader can get some of the most important theorems on this subject. Many examples are provided.Highlights of the volume include:(1) A generous introduction explaining the origins of group theory and their representations, the motivation for the main problems in this theory, and the deep connections with modern physics.(2) A solid presentation of the theory of topological groups and of Lie groups.(3) Two proofs of the existence of Haar measures.(4) The detailed study of continuous representations on general locally convex spaces, with an emphasis on unitary representations of compact groups on Hilbert spaces.(5) A careful presentation of induced representations on locally convex spaces and G. W. Mackey's Theorem of Imprimitivity.About half of the results included in this volume appear for the first time in a book, while the theory of $p$-induced representations on locally convex spaces is new. To facilitate reading, several appendices present the concepts and basic results from general topology, differential manifolds, abstract measures and integration, topological vector spaces, Banach spaces, Banach algebras, $C^*$-algebras, and operator theory on Hilbert spaces.

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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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: 121070.00 T
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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: 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: 121070.00 T
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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: Gene Freudenburg
Название: Algebraic Theory of Locally Nilpotent Derivations
ISBN: 3642067328 ISBN-13(EAN): 9783642067327
Издательство: Springer
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Описание: Invariant Theory and Algebraic Transformation Groups VII

Автор: Ralph McKenzie; Matthew Valeriote
Название: Structure of Decidable Locally Finite Varieties
ISBN: 0817634398 ISBN-13(EAN): 9780817634391
Издательство: Springer
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Описание: Examples of such decidabLe theories are the theory of Boolean algebras (Tarski [1949]), the theory of Abelian groups (Szmiele~ [1955]), and the theories of elementary arithmetic and geometry (Tarski [1951]` but Tarski discovered these results around 1930).

Автор: Carlo Garoni; Stefano Serra-Capizzano
Название: Generalized Locally Toeplitz Sequences: Theory and Applications
ISBN: 3319536788 ISBN-13(EAN): 9783319536781
Издательство: Springer
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Цена: 102480.00 T
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Описание: Based on their research experience, the authors propose a reference textbook in two volumes on the theory of generalized locally Toeplitz sequences and their applications.

Автор: Gan Wee Teck, Tan Kai Meng
Название: Modular Representation Theory of Finite and P-Adic Groups
ISBN: 981465180X ISBN-13(EAN): 9789814651806
Издательство: World Scientific Publishing
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Цена: 92930.00 T
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Описание: This volume is an outgrowth of the program Modular Representation Theory of Finite and p-Adic Groups held at the Institute for Mathematical Sciences at National University of Singapore during the period of 1-26 April 2013.