Contemporary mathematics - American Mathematical Society
American Mathematical Society · Alejandro Adem · Chung-Chun Yang · David R. Larson · Habib Ammari · Krzysztof Jarosz · Robert S. Doran
Latest release: July 29, 2020
Series
496
Books
About this ebook series
Suitable for researchers in Lie theory and in the theory of linear algebra, associative or otherwise, and to graduate students who have had some background in one or more of these areas.
Rational Constructions of Modules for Simple Lie Algebras
Book 5 · Jan 1981 ·
0.0star
Suitable for researchers in Lie theory and in the theory of linear algebra, associative or otherwise, and to graduate students who have had some background in one or more of these areas.
Papers in Algebra, Analysis and Statistics
Book 9 · Jan 1982 ·
0.0star
Symposium on Algebraic Topology in Honor of Jose Adem
Book 12 · Jan 1982 ·
0.0star
Algebraists' Homage: Papers in Ring Theory and Related Topics: Papers in Ring Theory and Related Topics
Book 13 · Jan 1982 ·
0.0star
Complex Representations of GL(2,K) for Finite Fields K
Book 16 · Jan 1983 ·
0.0star
These are lecture notes of a course given at Tel-Aviv University. The aim of these notes is to present the theory of representations of GL(2, K) where K is a finite field. However, the presentation of the material has in mind the theory of infinite dimensional representations of GL(2, K) for local fields K.
Proceedings of the Northwestern Homotopy Theory Conference
Book 19 · Jan 1983 ·
0.0star
Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields
Book 24 · Jan 1983 ·
0.0star
These notes deal with a set of interrelated problems and results in algebraic number theory, in which there has been renewed activity in recent years. The underlying tool is the theory of the central extensions and, in most general terms, the underlying aim is to use class field theoretic methods to reach beyond Abelian extensions. One purpose of this book is to give an introductory survey, assuming the basic theorems of class field theory as mostly recalled in section 1 and giving a central role to the Tate cohomology groups $\hat H{}^{-1}$. The principal aim is, however, to use the general theory as developed here, together with the special features of class field theory over $\mathbf Q$, to derive some rather strong theorems of a very concrete nature, with $\mathbf Q$ as base field. The specialization of the theory of central extensions to the base field $\mathbf Q$ is shown to derive from an underlying principle of wide applicability. The author describes certain non-Abelian Galois groups over the rational field and their inertia subgroups, and uses this description to gain information on ideal class groups of absolutely Abelian fields, all in entirely rational terms. Precise and explicit arithmetic results are obtained, reaching far beyond anything available in the general theory. The theory of the genus field, which is needed as background as well as being of independent interest, is presented in section 2. In section 3, the theory of central extension is developed. The special features over ${\mathbf Q}$ are pointed out throughout. Section 4 deals with Galois groups, and applications to class groups are considered in section 5. Finally, section 6 contains some remarks on the history and literature, but no completeness is attempted.
Conference on Modern Analysis and Probability
Book 26 · Jan 1984 ·
0.0star
An NSF-supported conference in honor of Professor Shizuo Kakutani was held on June 8-11, 1982, at Yale University, on the occasion of Kakutani's retirement. The three major areas of mathematics on which the conference focused were functional analysis, probability theory, and ergodic theory.
Fluids and Plasmas: Geometry and Dynamics: Geometry and Dynamics
Book 28 · Jan 1984 ·
0.0star
"The organizing committee envisioned bringing together three groups of people working on the following topics in fluid and plasma dynamics: 1. Geometric aspects : Hamiltonian structures, perturbation theory and nonlinear stability by variational methods, 2) Analytical and numerical methods: contour dynamics, spectral methods, and functional analytic techniques, 3) Dynamical systems aspects: experimental and numerical methods, bifurcation theory, and chaos."- introduction
Proceedings of the Conference on Banach Algebras and Several Complex Variables
Book 32 · Jan 1984 ·
0.0star
Contains papers presented at the conference on Banach Algebras and Several Complex Variables held June 21-24, 1983, to honor Professor Charles E Rickart upon his retirement from Yale University. This work includes articles that present advances in topics related to Banach algebras, function algebras and infinite dimensional holomorphy.
Contributions to Group Theory
Book 33 · Jan 1984 ·
0.0star
Contains five short articles about Roger Lyndon and his contributions to mathematics, as well as twenty-seven invited research papers in combinatorial group theory and closely related areas. Several of the articles featured in this work fall into subfields of combinatorial group theory, areas in which much of the initial work was done by Lyndon.
Four-Manifold Theory
Book 35 · Jan 1984 ·
0.0star
Covers the proceedings of the Summer Research Conference on 4-manifolds held at Durham, New Hampshire, July 1982, under the auspices of the American Mathematical Society and National Science Foundation.
Group Actions on Manifolds
Book 36 · Jan 1985 ·
0.0star
Presents an understanding of the sorts of problems one studies in group actions and the methods used to study such problems. This book features articles based upon lectures at the 1983 AMS-IMS-SIAM Joint Summer Research Conference, Group Actions on Manifolds, held at the University of Colorado.
Conference on Algebraic Topology in Honor of Peter Hilton
Book 37 · Jan 1985 ·
0.0star
This book, which is the proceedings of a conference held at Memorial University of Newfoundland, August 1983, contains 18 papers in algebraic topology and homological algebra by collaborators and associates of Peter Hilton. It is dedicated to Hilton on the occasion of his 60th birthday. The various topics covered are homotopy theory, $H$-spaces, group cohomology, localization, classifying spaces, and Eckmann-Hilton duality. Students and researchers in algebraic topology will gain an appreciation for Hilton's impact upon mathematics from reading this book.
Integral Bases for Affine Lie Algebras and Their Universal Enveloping Algebras
Book 40 · Jan 1985 ·
0.0star
A revised version of the author's PhD thesis written under the supervision of J Lepowsky at Rutgers University in 1983.
Particle Systems, Random Media and Large Deviations
Book 41 · Jan 1985 ·
0.0star
Covers the proceedings of the 1984 AMS Summer Research Conference. This work provides a summary of results from some of the areas in probability theory; interacting particle systems, percolation, random media (bulk properties and hydrodynamics), the Ising model and large deviations.
Group Actions on Rings
Book 43 · Jan 1985 ·
0.0star
Ring theorists and researchers in invariant theory and operator algebra met at Bowdoin for the 1984 AMS-IMS-SIAM Joint Summer Research Conference to exchange ideas about group actions on rings. This work discusses topics common to the three fields, including: $K$-theory, dual actions, semi-invariants and crossed products.
Combinatorial Methods in Topology and Algebraic Geometry
Book 44 · Jan 1985 ·
0.0star
A survey of the areas where combinatorial methods have proven especially fruitful: topology and combinatorial group theory, knot theory, 3-manifolds, homotopy theory and infinite dimensional topology, and four manifolds and algebraic surfaces.
Finite Groups--coming of Age: Proceedings of the Canadian Mathematical Society Conference Held on June 15-28, 1982, with Partial Support from the FCAC (Quebec) and the NSERC (Canada)
Book 45 · Jan 1985 ·
0.0star
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 current research in sporadic geometry, the Fischer-Griess Monster group, and moonshine. Though all the papers are of high research value, the following papers of unusual significance should be singled out: Frenkel, Lepowsky, and Meurman's construction of the Monster group $F_1$; Conway and Queen's computation of characters of $E_8({\bf C})$; Norton's proof of the uniqueness of the Monster; and Mason's exploration of moonshine.
Structure of the Standard Modules for the Affine Lie Algebra $A^{(1)}_1$
Book 46 · Jan 1985 ·
0.0star
The affine Kac-Moody algebra $A_1 DEGREES{(1)}$ has served as a source of ideas in the representation theory of infinite-dimensional affine Lie algebras. This book develops the calculus of vertex operators to solve the problem of constructing all the standard $A_1 DEGREES{(1)}$-modules in the homogeneou
