This volume presents a completely self-contained introduction to the elaborate theory of locally compact quantum groups, bringing the reader to the frontiers of present-day research. The exposition includes a substantial amount of material on functional analysis and operator algebras, subjects which in themselves have become increasingly important with the advent of quantum information theory. In particular, the rather unfamiliar modular theory of weights plays a crucial role in the theory, due...
Hexagonal Graph Paper Notebook; 1/4 Inch Side Lenght Hexes (Composition Graph Journal Diary, #1)
by Sara Blank Book
A revised and expanded second edition of Reiter's classic text Classical Harmonic Analysis and Locally Compact Groups (Clarendon Press 1968). It deals with various developments in analysis centring around the fundamental work of Wiener, Carleman, and especially A. Weil. It starts with the classical theory of Fourier transforms in euclidean space, continues with a study of certain general function algebras, and then discusses functions defined on locally compact groups. The aim is, firstly, to...
Infinite Words (Pure and Applied Mathematics)
by Dominique Perrin and Jean-Eric Pin
Infinite Words is an important theory in both Mathematics and Computer Sciences. Many new developments have been made in the field, encouraged by its application to problems in computer science. Infinite Words is the first manual devoted to this topic. Infinite Words explores all aspects of the theory, including Automata, Semigroups, Topology, Games, Logic, Bi-infinite Words, Infinite Trees and Finite Words. The book also looks at the early pioneering work of Buchi, McNaughton and Schutzenberge...
Complex Analysis III (Lecture Notes in Mathematics, #1277)
Symbolic Rewriting Techniques (Progress in Theoretical Computer Science, v. 15)
by Manuel Bronstein, etc., J. Grabmeier, and V. Weisfenning
Symbolic rewriting techniques are methods for deriving consequences from systems of equations, and are of great use when investigating the structure of the solutions. Such techniques appear in many important areas of research within computer algebra: the Knuth-Bendix completion for groups, monoids and general term-rewriting systems; the Buchberger algorithm for Grobner bases; the Ritt-Wu characteristic set method for ordinary differential equations; and the Riquier-Janet method for partial diffe...
Nonlinear Mechanics, Groups and Symmetry (Mathematics and Its Applications, #319)
by Yuri A. Mitropolsky and A.K. Lopatin
Asymptotic methods of nonlinear mechanics developed by N. M. Krylov and N. N. Bogoliubov originated new trend in perturbation theory. They pene- trated deep into various applied branches (theoretical physics, mechanics, ap- plied astronomy, dynamics of space flights, and others) and laid the founda- tion for lrumerous generalizations and for the creation of various modifications of thesem. E!f,hods. A great number of approaches and techniques exist and many differen. t classes of mathematical ob...
Basic Structures of Modern Algebra (Mathematics and Its Applications, #265)
by Y. Bahturin
This book has developed from a series of lectures which were given by the author in mechanics-mathematics department of the Moscow State University. In 1981 the course "Additional chapters in algebra" replaced the course "Gen eral algebra" which was founded by A. G. Kurosh (1908-1971), professor and head of the department of higher algebra for a period of several decades. The material of this course formed the basis of A. G. Kurosh's well-known book "Lectures on general algebra" (Moscow,1962; 2...
The 2009 World Forecasts of Electric Smoothing Irons Export Supplies
by Philip M. Parker
Theory of Group Representations and Fourier Analysis (CIME Summer Schools, v. 53)
A. Figa Talamanca: Random Fourier series on compact groups.- S. Helgason: Representations of semisimple Lie groups.- H. Jacquet: Representations des groupes lineaires p-adiques.- G.W. Mackey: Infinite-dimensional group representations and their applications.
Singular Points of Plane Curves (London Mathematical Society Student Texts)
by C. T. C. Wall
Even the simplest singularities of planar curves, e.g. where the curve crosses itself, or where it forms a cusp, are best understood in terms of complex numbers. The full treatment uses techniques from algebra, algebraic geometry, complex analysis and topology and makes an attractive chapter of mathematics, which can be used as an introduction to any of these topics, or to singularity theory in higher dimensions. This book is designed as an introduction for graduate students and draws on the aut...
This volume resulted from presentations given at the international "Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie-Butcher Series", that took place at the Instituto de Ciencias Matematicas (ICMAT) in Madrid, Spain. It combines overview and research articles on recent and ongoing developments, as well as new research directions. Why geometric numerical integration? In their article of the same title Arieh Iserles and Reinout Quispel, two renowne...
This volume is an outgrowth of the program Modular Representation Theory of Finite and p-Adic Groups held at the Institute for Mathematical Sciences at National University of Singapore during the period of 1-26 April 2013. It contains research works in the areas of modular representation theory of p-adic groups and finite groups and their related algebras. The aim of this volume is to provide a bridge - where interactions are rare between researchers from these two areas - by highlighting the la...
Classification of E_0-Semigroups by Product Systems (Memoirs of the American Mathematical Society)
by Michael Skeide
In these notes the author presents a complete theory of classification of E_0-semigroups by product systems of correspondences. As an application of his theory, he answers the fundamental question if a Markov semigroup admits a dilation by a cocycle perturbations of noise: It does if and only if it is spatial.
Commutative Algebra (Contemporary Mathematics)
This volume contains refereed papers on themes explored at the AMS-IMS-SIAM Summer Research Conference, Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra, held at Mount Holyoke College in 1992. The conference featured a series of one-hour invited lectures on recent advances in commutative algebra and interactions with such areas as algebraic geometry, representation theory, and combinatorics. The major themes of the conference were tight closure Hilbert functions, birational...
Groups, Rings and Algebras (Contemporary Mathematics)
This is a companion volume to the conference in honor of Donald S. Passman held in Madison, Wisconsin in June 2005. It contains research papers on Algebras, Group Rings, Hopf Algebras, Invariant Theory, Lie Algebras and their Enveloping Algebras, Noncommutative Algebraic Geometry, Noncommutative Rings, and other topics. The papers represent an important part of the latest research in these areas.
Graphs of Groups on Surfaces (North-Holland Mathematics Studies, #188)
by Arthur T White and A T White
The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on sufaces. Automorphism groups of both graphs and maps are studied. In addition connections are made to other areas of mathematics, such as hypergraphs, block designs, finite geometries, and finite fields. There are chapters on the emerging subfields of enumerative topological g...
These conference papers should dispel any post-classification pessimism about the future of the theory of finite simple groups. Having noted that the theory developed for the classification touches on so few other branches of mathematics, the editor focuses on research in finite simple groups not central to the classification and presents a broad context for the recent results in the field. The papers are aimed at researchers and graduate students in algebra. They pay special attention to curren...