Hopf Algebras in General and in Combinatorial Physics: a practical introduction
by G.H.E. Duchamp, et al.
Publisher: arXiv 2008
Number of pages: 40
Description:
This tutorial is intended to give an accessible introduction to Hopf algebras. The mathematical context is that of representation theory, and we also illustrate the structures with examples taken from combinatorics and quantum physics, showing that in this latter case the axioms of Hopf algebra arise naturally. The text contains many exercises, some taken from physics, aimed at expanding and exemplifying the concepts introduced.
Download or read it online for free here:
Download link
(480KB, PDF)
Similar books
Abstract Algebra: The Basic Graduate Yearby Robert B. Ash
Text for a graduate course in abstract algebra, it covers fundamental algebraic structures (groups, rings, fields, modules), and maps between them. The text is written in conventional style, the book can be used as a classroom text or as a reference.
(14241 views)
Lie Algebrasby Shlomo Sternberg
The Campbell Baker Hausdorff formula, sl(2) and its representations, classical simple algebras, Engel-Lie-Cartan-Weyl, conjugacy of Cartan subalgebras, simple finite dimensional algebras, cyclic highest weight modules, Serre’s theorem, and more.
(13308 views)
Graduate Algebraby Leonard Evens - Northwestern University
Contents: Groups; Group actions on sets; Normal series; Ring theory; Modules; Hom and tensor; Field theory; Galois theory; Applications of Galois theory; Infinite extensions; Categories; Multilinear algebra; More ring theory; Localization; etc.
(9288 views)
An Introduction to Nonassociative Algebrasby Richard D. Schafer - Project Gutenberg
Concise study presents in a short space some of the important ideas and results in the theory of nonassociative algebras, with particular emphasis on alternative and (commutative) Jordan algebras. Written as an introduction for graduate students.
(9559 views)