Logo

Hopf Algebras in General and in Combinatorial Physics: a practical introduction

Small book cover: Hopf Algebras in General and in Combinatorial Physics: a practical introduction

Hopf Algebras in General and in Combinatorial Physics: a practical introduction
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(480KB, PDF)

Similar books

Book cover: Abstract Algebra: The Basic Graduate YearAbstract Algebra: The Basic Graduate Year
by
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.
(19736 views)
Book cover: Noncommutative RingsNoncommutative Rings
by
From the table of contents: Morita equivalence (Hom, Bimodules, Projective modules ...); Localization and Goldie's theorem; Central simple algebras and the Brauer group; Maximal orders; Irreducible representations; Growth of algebras.
(11924 views)
Book cover: The Construction and Study of Certain Important AlgebrasThe Construction and Study of Certain Important Algebras
by - The Mathematical Society Of Japan
This is the reproduction of the beautiful lectures delivered by Professor C. Chevalley at the University of Tokyo in April-June 1954. Contents: Graded algebras; Tensor algebras; Clifford algebras; Some applications of exterior algebras.
(10825 views)
Book cover: An Introduction to Nonassociative AlgebrasAn Introduction to Nonassociative Algebras
by - 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.
(15102 views)