Group Characters, Symmetric Functions, and the Hecke Algebra
by David M. Goldschmidt
Publisher: American Mathematical Society 1993
Number of pages: 69
Directed at graduate students and mathematicians, the book is made up of lecture notes from a course taught by the author at the University of California at Berkeley. It covers a set of interrelated topics, presenting a self-contained exposition of the algebra behind the Jones polynomial along with various excursions into related areas.
Home page url
Download or read it online for free here:
by E. Lee Lady - University of Hawaii
Contents: Modules Over Commutative Rings; Fundamentals; Rank-one Modules and Types; Quasi-Homomorphisms; The t-Socle and t-Radical; Butler Modules; Splitting Rings and Splitting Fields; Torsion Free Rings; Quotient Divisible Modules; etc.
by John Meakin - University of Nebraska-Lincoln
In the present paper, I will discuss some of these connections between group theory and semigroup theory, and I will also discuss some rather surprising contrasts between the theories. I will focus primarily on the theory of inverse semigroups.
by Emmanuel Breuillard, Hee Oh (eds.) - Cambridge University Press
This book focuses on recent developments concerning various quantitative aspects of thin groups. It provides a broad panorama of a very active field of mathematics at the boundary between geometry, dynamical systems, number theory, and combinatorics.
by Willard Miller - Academic Press
A beginning graduate level book on applied group theory. Only those aspects of group theory are treated which are useful in the physical sciences, but the mathematical apparatus underlying the applications is presented with a high degree of rigor.