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 W. B. Vasantha Kandasamy - American Research Press
The Smarandache semigroups exhibit properties of both a group and a semigroup simultaneously. This book assumes the reader to have a good background on group theory; we give some recollection about groups and some of its properties for reference.
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 Brian C. Hall - arXiv
An elementary introduction to Lie groups, Lie algebras, and their representations. Topics include definitions and examples of Lie groups and Lie algebras, the basics of representations theory, the Baker-Campbell-Hausdorff formula, and more.
by B.H. Neumann - Tata Institute of Fundamental Research
As the title suggests, the aim was not a systematic treatment of infinite groups. Instead the author tried to present some of the methods and results that are new and look promising, and that have not yet found their way into the books.