Kac Algebras and Duality of Locally Compact Groups
by Michel Enock and Jean-Marie Schwartz
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 characterizatio...
Generic Local Structure of the Morphisms in Commutative Algebra (Lecture Notes in Mathematics, #310)
by Birger Iversen
Group Theory
The Atlas of Finite Groups - Ten Years on
by Professor R T Curtis and R. A. Wilson
Geometry and Representation Theory of Real and P-Adic Groups (Progress in Mathematics, #158)
The representation theory of Lie groups plays a central role in both clas sical and recent developments in many parts of mathematics and physics. In August, 1995, the Fifth Workshop on Representation Theory of Lie Groups and its Applications took place at the Universidad Nacional de Cordoba in Argentina. Organized by Joseph Wolf, Nolan Wallach, Roberto Miatello, Juan Tirao, and Jorge Vargas, the workshop offered expository courses on current research, and individual lectures on more specialized...
This updated edition of this classic book is devoted to ordinary representation theory and is addressed to finite group theorists intending to study and apply character theory. It contains many exercises and examples, and the list of problems contains a number of open questions.
On Group-Theoretic Decision Problems and Their Classification. (AM-68) (Annals of Mathematics Studies, #68)
by Charles F. Miller
The Kepler Problem (Progress in Mathematical Physics, #29)
by Bruno Cordani
Because of the correspondences existing among all levels of reality, truths pertaining to a lower level can be considered as symbols of truths at a higher level and can therefore be the "foundation" or support leading by analogy to a knowledge of the latter. This confers to every science a superior or "elevating" meaning, far deeper than its own original one. - R. GUENON, The Crisis of Modern World Having been interested in the Kepler Problem for a long time, I have al ways found it astonishing...
Reflection Positivity (SpringerBriefs in Mathematical Physics, #32)
by Karl-Hermann Neeb and Gestur Olafsson
Refection Positivity is a central theme at the crossroads of Lie group representations, euclidean and abstract harmonic analysis, constructive quantum field theory, and stochastic processes. This book provides the first presentation of the representation theoretic aspects of Refection Positivity and discusses its connections to those different fields on a level suitable for doctoral students and researchers in related fields. It starts with a general introduction to the ideas and methods invol...
Introduction to the Baum-Connes Conjecture (Lectures in Mathematics. ETH Zurich)
by Alain Valette
A quick description of the conjecture The Baum-Connes conjecture is part of Alain Connes'tantalizing "noncommuta- tive geometry" programme [18]. It is in some sense the most "commutative" part of this programme, since it bridges with classical geometry and topology. Let r be a countable group. The Baum-Connes conjecture identifies two objects associated with r, one analytical and one geometrical/topological. The right-hand side of the conjecture, or analytical side, involves the K- theory of the...
Harmonic Analysis on Exponential Solvable Lie Groups (Springer Monographs in Mathematics)
by Hidenori Fujiwara and Jean Ludwig
This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers. The orbit method invented by Kirillov is applied to study basic problems in the analysis on exponential solvable Lie groups. This method tells us that the unitary dual of these g...
Classifying Spaces of Sporadic Groups (Mathematical Surveys and Monographs)
by David J. Benson and Stephen D Smith
For each of the 26 sporadic finite simple groups, the authors construct a 2-completed classifying space using a homotopy decomposition in terms of classifying spaces of suitable 2-local subgroups. This construction leads to an additive decomposition of the mod 2 group cohomology. The authors also summarize the current status of knowledge in the literature about the ring structure of the mod 2 cohomology of sporadic simple groups.
DSP for In-Vehicle and Mobile Systems (Elements of Mathematics)
by Huseyin Abut
Explorations in Harmonic Analysis (Applied and Numerical Harmonic Analysis)
by Steven G Krantz
This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis.
Projective Representations of the Symmetric Groups (Oxford Mathematical Monographs)
by P. N. Hoffman and J. F. Humphreys
The study of the symmetric groups forms one of the basic building blocks of modern group theory. This book is the first completely detailed and self-contained presentation of the wealth of information now known on the projective representations of the symmetric and alternating groups. Prerequisites are a basic familiarity with the elementary theory of linear representations and a modest background in modern algebra. The authors have taken pains to ensure that all the relevant algebraic and combi...
Orthogonal Polynomials for Exponential Weights (CMS Books in Mathematics)
by Eli Levin and Doron S. Lubinsky
The analysis of orthogonal polynomials associated with general weights has been a major theme in classical analysis this century. In this monograph, the authors define and discuss their classes of weights, state several of their results on Christoffel functions, Bernstein inequalities, restricted range inequalities, and record their bounds on the orthogonal polynomials, as well as their asymptotic results. This book will be of interest to researchers in approximation theory, potential theory, as...
Fourier Analysis on Finite Abelian Groups (Applied and Numerical Harmonic Analysis)
by Bao Luong
This unified, self-contained book examines the mathematical tools used for decomposing and analyzing functions, specifically, the application of the [discrete] Fourier transform to finite Abelian groups. With countless examples and unique exercise sets at the end of each section, Fourier Analysis on Finite Abelian Groups is a perfect companion to a first course in Fourier analysis. This text introduces mathematics students to subjects that are within their reach, but it also has powerful applica...
The Theory of Nilpotent Groups
by Anthony E Clement, Stephen Majewicz, and Marcos Zyman
This monograph presents both classical and recent results in the theory of nilpotent groups and provides a self-contained, comprehensive reference on the topic. While the theorems and proofs included can be found throughout the existing literature, this is the first book to collect them in a single volume. Details omitted from the original sources, along with additional computations and explanations, have been added to foster a stronger understanding of the theory of nilpotent groups and the t...
Symmetrie hat in der Mechanik schon immer eine grosse Rolle gespielt - von der grundlegenden Formulierung elementarer Theorien bis hin zu konkreten Anwendungen. Thema dieses Buches ist die Entwicklung der zugrunde liegenden Theorien, wobei der Rolle der Symmetrie besonderes Gewicht beigemessen wird. Ursache hierfur sind neben den Entwicklungen im Bereich dynamischer Systeme auch der Einsatz geometrischer Verfahren und neuer Anwendungen bei integrierbaren und chaotischen Systemen, Steuerungssyste...
Collected Works
When, at the age of 39, Pere Menal met his untimely death in a traffic accident, he had already held the Chair of Algebra at the Autonomous University of Barcelona, served as an editor of the journal "Communications in Algebra", had directed six PhD theses, and had written some 40 papers on ring theory, many of them in collaboration with ring theorists from many parts of the world. This text brings together all of Menal's ring theory papers, both published and unpublished. The earlier articles d...