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Group Actions on Rings
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.
Finite Groups--coming of Age
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.
Group Actions on Manifolds
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.
Combinatorial Methods in Topology and Algebraic Geometry
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.
Integral Bases for Affine Lie Algebras and Their Universal Enveloping Algebras
A revised version of the author's PhD thesis written under the supervision of J Lepowsky at Rutgers University in 1983.
Structure of the Standard Modules for the Affine Lie Algebra $A^{(1)}_1$
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
Particle Systems, Random Media and Large Deviations
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.
The Magee Family: a History of the Family in America
Patrick Magee (1741-1811) immigrated from Ireland to Philadelphia, and married Jane Hall in 1765. They settled in Cumberland (later Franklin) County, Pennsylvania. Descendants and relatives lived in Pennsylvania, New York, Ohio, Missouri, California and elsewhere.
Conference on Algebraic Topology in Honor of Peter Hilton
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.
Classical Real Analysis
This book collects most of the papers presented at a special session on classical real analysis held to honor Casper Goffman at the April 1982 AMS meeting. The variety of these papers reflects Goffman's wide-ranging interests and the many areas where his influence has been felt: differentiation and integration theory, structure theory of real functions, ordered systems, surface area, Sobolev spaces, Fourier analysis, measure theory, bases, and approximation theory. Together they provide an appreciation of the directions in which real analysis has developed and of how classical techniques might be applied to problems of current interest. Readers should have a background in classical analysis. Though aimed primarily at specialists in real function theory of one or several variables, the papers will also interest mathematicians working in the areas of Fourier analysis, surface area, mapping theory and control theory.
