Group Theory category: 117 books
Lie Groups: Structure, Actions, and Representations
In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday
Language: English
Release Date: August 4, 2013
Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profound contributions to mathematics. Due to Professor Wolf’s broad interests, outstanding...
by
Language: English
Release Date: October 20, 2011
Language: English
Release Date: October 20, 2011
This volume consists of expository and research articles that highlight the various Lie algebraic methods used in mathematical research today. Key topics discussed include spherical varieties, Littelmann Paths and Kac–Moody Lie algebras, modular representations, primitive ideals, representation...
Fundamentals of Modern Algebra
A Global Perspective
Language: English
Release Date: December 28, 2015
The purpose of this book is to provide a concise yet detailed account of fundamental concepts in modern algebra. The target audience for this book is first-year graduate students in mathematics, though the first two chapters are probably accessible to well-prepared undergraduates. The book covers...
Latin Squares
New Developments in the Theory and Applications
Language: English
Release Date: January 24, 1991
In 1974 the editors of the present volume published a well-received book entitled ``Latin Squares and their Applications''. It included a list of 73 unsolved problems of which about 20 have been completely solved in the intervening period and about 10 more have been partially solved.
The present...
Non-homogeneous Random Walks
Lyapunov Function Methods for Near-Critical Stochastic Systems
Language: English
Release Date: December 22, 2016
Stochastic systems provide powerful abstract models for a variety of important real-life applications: for example, power supply, traffic flow, data transmission. They (and the real systems they model) are often subject to phase transitions, behaving in one way when a parameter is below a certain...
by Gerardo F. Torres del Castillo
Language: English
Release Date: July 23, 2010
Language: English
Release Date: July 23, 2010
Without using the customary Clifford algebras frequently studied in connection with the representations of orthogonal groups, this book gives an elementary introduction to the two-component spinor formalism for four-dimensional spaces with any signature. Some of the useful applications of four-dimensional...
An Introduction to Quasisymmetric Schur Functions
Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux
Language: English
Release Date: June 19, 2013
An Introduction to Quasisymmetric Schur Functions is aimed at researchers and graduate students in algebraic combinatorics. The goal of this monograph is twofold. The first goal is to provide a reference text for the basic theory of Hopf algebras, in particular the Hopf algebras of symmetric, quasisymmetric...
by Torsten Wedhorn
Language: English
Release Date: July 25, 2016
Language: English
Release Date: July 25, 2016
This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the difference between local...
Advances in Mathematics and Applications
Celebrating 50 years of the Institute of Mathematics, Statistics and Scientific Computing, University of Campinas
Language: English
Release Date: September 7, 2018
This book celebrates the 50th anniversary of the Institute of Mathematics, Statistics and Scientific Computing (IMECC) of the University of Campinas, Brazil, by offering reviews of selected research developed at one of the most prestigious mathematics institutes in Latin America. Written by senior...
by Marcos M. Alexandrino, Renato G. Bettiol
Language: English
Release Date: May 22, 2015
Language: English
Release Date: May 22, 2015
This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. After a gentle introduction to the subject, some of its recent applications to active research areas are explored, keeping a constant connection with the basic...
Undergraduate Algebra
A Unified Approach
Language: English
Release Date: May 15, 2019
This textbook offers an innovative approach to abstract algebra, based on a unified treatment of similar concepts across different algebraic structures. This makes it possible to express the main ideas of algebra more clearly and to avoid unnecessary repetition.
The book consists of two parts: The...
Algebra
A Teaching and Source Book
Language: English
Release Date: July 14, 2015
This book presents a graduate-level course on modern algebra. It can be used as a teaching book – owing to the copious exercises – and as a source book for those who wish to use the major theorems of algebra.
The course begins with the basic combinatorial principles of algebra: posets,...
Explorations in Topology
Map Coloring, Surfaces and Knots
Language: English
Release Date: December 4, 2013
Explorations in Topology, Second Edition, provides students a rich experience with low-dimensional topology (map coloring, surfaces, and knots), enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that will...
by Robert G. Underwood
Language: English
Release Date: August 28, 2011
Language: English
Release Date: August 28, 2011
Only book on Hopf algebras aimed at advanced undergraduates