Groups and group theory

The main goal of the book is to present a proof of the following.

Fourier analysis has been the inspiration for a technological wave of advances in fields such as imaging processing, financial modeling, algorithms and sequence design.

This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics- such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics- and in theoretical physics such as quantum field theory and string theory.

This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics.

One of the most creative mathematicians of our times, Vladimir Drinfeld received the Fields Medal in 1990 for his groundbreaking contributions to the Langlands program and to the theory of quantum groups.

Hideki Omori is widely recognized as one of the world's most creative and original mathematicians.

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established.

D-modules continues to be an active area of stimulating research in such mathematical areas as algebra, analysis, differential equations, and representation theory.

This monograph presents a comprehensive treatment of important new ideas on Dirac operators and Dirac cohomology.

This research monograph is a systematic exposition of the background, methods, and recent results in the theory of cycle spaces of ?

Dedicated to Anthony Joseph, this volume contains surveys and invited articles by leading specialists in representation theory.

A tribute to the vision and legacy of Israel Moiseevich Gelfand, the invited papers in this volume reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory.

Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups).

Lie Theory: Unitary Representations and Compactifications of Symmetric Spaces, a self-contained work by A.

Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics.

This volume contains research and survey articles by well known and respected mathematicians describing recent developments and research trends in differential geometry and topology that have been collected and dedicated in honor of Lieven Vanhecke, as a tribute to his many fruitful and inspiring contributions to these fields.

One of the world's foremost geometers, Alan Weinstein has made deep contributions to symplectic and differential geometry, Lie theory, mechanics, and related fields.

The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory.

The basics of group theory and its applications to themes such as the analysis of vibrational spectra and molecular orbital theory are essential knowledge for the undergraduate student of inorganic chemistry.

REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced.

Mysteries of the Social Brain describes the scientific underpinnings of human behavior and values.

This book presents some of the basic ideas and tools of quantum field theory to a mathematical audience.

This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact.

This two-volume book contains selected papers from the international conference ''Groups 1993 Galway/St Andrews''.

This two-volume book contains selected papers from the international conference ''Groups 1993 Galway/St Andrews''

Presented here are papers from the 1993 Como meeting on groups of Lie type and their geometries.

The book presents a new version of the local analysis section of the Feit–Thompson theorem.

This book considers the current state of knowledge in the geometric and algebraic aspects of two-dimensional homotopy theory.

For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.

For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.

Proceedings of the conference held at the University of Birmingham in honour of Professor A.

These volumes will be essential references for research and postgraduate mathematicians whose work involves group theory.

In this book Manz and Wolf concentrate on that part of representation theory which relates to solvable groups.

The particular focus of the book is on the remarkable measure supported on the limit set of a discrete group that was first developed by S.

The second in a two-volume set, for researchers into finite groups, geometry and algebraic combinatorics.

A friendly introduction to Fourier analysis on finite groups, accessible to undergraduates/graduates in mathematics, engineering and the physical sciences.

Selected papers from ''Groups St Andrews 2005'' cover a wide spectrum of modern group theory.

Selected papers from ''Groups St Andrews 2005'' cover a wide spectrum of modern group theory.

Survey and research articles from the Bielefeld conference on topological, combinatorial and arithmetic aspects of groups.

Leading experts outline the connections between Weyl''s theorems and current results in dynamical systems, invariant theory and partial differential equations.

A comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.

This volume covers cohomology, representation theory, geometric and combinatorial group theory.

Ideal for graduate students and researchers working in group theory and Lie rings.

Research text on algebra/representation theory.

Surveys recent interactions between model theory and other branches of mathematics, notably group theory.

Proceedings containing twenty articles by leading experts in group theory and its applications.

In this book the author aims to show the value of using topological methods in combinatorial group theory.

Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.

This book summarizes recent developments in the study of permutation groups for beginning graduate students.

This book describes the basic algorithmic ideas behind accepted methods for computing with finitely presented groups.