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.
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by Richard Pink - ETH Zurich
The aim of the lecture course is the classification of finite commutative group schemes over a perfect field of characteristic p, using the classical approach by contravariant Dieudonne theory. The theory is developed from scratch.
by Predrag Cvitanovic - Princeton University Press
A book on the theory of Lie groups for researchers and graduate students in theoretical physics and mathematics. It answers what Lie groups preserve trilinear, quadrilinear, and higher order invariants. Written in a lively and personable style.
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.
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