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Kac Algebras and Duality of Locally Compact Groups

algebras, containing the category of locally compact groups and fulfilling a perfect duality.;

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Lie Algebras and Locally Compact Groups

. Chapter 2, The Structure of Locally Compact Groups, deals with the solution of Hilbert's fifth problem given by Gleason, Montgomery, and Zipplin;

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Crossed Products of Operator Algebras

The authors study crossed products of arbitrary operator algebras by locally compact groups of completely isometric automorphisms. They;

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Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles

This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact;

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Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles

This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact;

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Banach Algebras and Applications

actions, amenability, topological homology, Arens irregularity, C*-algebras and dynamical systems, operator theory, operator spaces, and locally;

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Lie Algebras With Triangular Decompositions

Imparts a self--contained development of the algebraic theory of Kac--Moody algebras, their representations and close relatives----the;

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Representations of Lie Algebras, Quantum Groups and Related Topics

of representations of Kac-Moody Lie algebras and their applications, structure of Leibniz algebras and Krichever-Novikov algebras, representations of quantum;

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Periodic Locally Compact Groups

of locally compact near abelian groups, pointing out some of its connections with number theory and graph theory and illustrating it by a large;

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Introduction to Topological Groups

groups and the general theory of topological groups. An elementary study of locally compact topological groups is followed by proofs of the open;

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Introduction to Finite and Infinite Dimensional Lie (Super)algebras

superalgebras in terms of their different classes of root systems, the book focuses on Kac-Moody algebras. With numerous exercises and worked examples;

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London Mathematical Society Lecture Note Series

relations. The particular case of locally compact groups has long been studied in many areas of mathematics. Non-locally compact Polish groups occur;

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A Course in Abstract Harmonic Analysis

theory of locally compact groups and their unitary representations, followed by a development of the more specific theory of analysis on Abelian;

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Analysis and Quantum Groups

This volume presents a completely self-contained introduction to the elaborate theory of locally compact quantum groups, bringing the;

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Banach Algebras and the General Theory of Algebras

uses them to prove results explicitly involving the complete norm. Chapter 12 is devoted to locally compact groups and the *-algebras related;

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Complex Semisimple Quantum Groups and Representation Theory

of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with the;

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Topological Algebras and their Applications

-Naimark type Theorems for unital abelian complex and real locally C*-, and locally JB-algebras Multipliers and strictly real topological;

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Selected Research Papers

Among the finest achievements in modern mathematics are two of L.S. Pontryagin's most notable contributions: Pontryagin duality and his;

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The Classical Fields

and cardinals, duality theory of locally compact Abelian groups and various constructions of fields.;

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Theory Of Groups And Symmetries

Algebras.The presentation begins with the Dirac notation, which is illustrated by boson and fermion oscillator algebras and also Grassmann algebra;

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London Mathematical Society Lecture Note Series

theorem and a detailed exposition of the structure of locally compact abelian groups. Measure theory and Banach algebra are entirely avoided and;

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Fourier Analysis on Groups

overview of the basic theorems of Fourier analysis and the structure of locally compact Abelian groups. Subsequent chapters explore idempotent;

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London Mathematical Society Lecture Note Series

groups, p-adic Lie groups and the metric geometry of locally compact groups. Concrete examples, including groups acting on trees and Neretin;

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Quantum Groups

invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main;

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Amenable Banach Algebras

This volume provides readers with a detailed introduction to the amenability of Banach algebras and locally compact groups. By encompassing;

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Infinite-Dimensional Lie Algebras

This is the third, substantially revised edition of this important monograph. The book is concerned with Kac-Moody algebras, a particular;

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Cambridge Studies in Advanced Mathematics

of Kac-Moody algebras. Proofs are given in detail and the only prerequisite is a sound knowledge of linear algebra. The first half of the book;

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