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 J. S. Milne
This work is a modern exposition of the theory of algebraic group schemes, Lie groups, and their arithmetic subgroups. Algebraic groups are groups defined by polynomials. Those in this book can all be realized as groups of matrices.
by Michael Ruzhansky, Ville Turunen - Aalto TKK
Contents: Groups (Groups without topology, Group actions and representations); Topological groups (Compact groups, Haar measure, Fourier transforms on compact groups..); Linear Lie groups (Exponential map, Lie groups and Lie algebras); Hopf algebras.
by M. E. Charkani - AMS
The theory of groups is a branch of mathematics in which we study the concept of binaryoperations. Group theory has many applications in physics and chemistry, and is potentially applicable in any situation characterized by symmetry.
by Flor Aceff-Sanchez, et al. - BookBoon
In this text, a modern presentation of the fundamental notions of Group Theory is chosen, where the language of commutative diagrams and universal properties, so necessary in Modern Mathematics, in Physics and Computer Science, is introduced.