Kac Algebras and Duality of Locally Compact Groups, Michel Enock; A. Connes; A. Ocneanu; Jean-Marie Sc

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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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: Steven Givant
Название: Duality Theories for Boolean Algebras with Operators
ISBN: 3319350269 ISBN-13(EAN): 9783319350264
Издательство: Springer
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Описание: In this new text, Steven Givant-the author of several acclaimed books, including works co-authored with Paul Halmos and Alfred Tarski-develops three theories of duality for Boolean algebras with operators.

Автор: Steven Givant
Название: Duality Theories for Boolean Algebras with Operators
ISBN: 3319067427 ISBN-13(EAN): 9783319067421
Издательство: Springer
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Цена: 13974.00 р.
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Описание: In this new text, Steven Givant-the author of several acclaimed books, including works co-authored with Paul Halmos and Alfred Tarski-develops three theories of duality for Boolean algebras with operators.

Автор: Sorin-Mihai Grad
Название: Vector Optimization and Monotone Operators via Convex Duality
ISBN: 3319361902 ISBN-13(EAN): 9783319361901
Издательство: Springer
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Описание: This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed.

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: 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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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: 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).