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: An introduction to Noncommutative Projective GeometryAn introduction to Noncommutative Projective Geometry
by - arXiv
These lecture notes are an expanded version of the author's lectures at a graduate workshop. The main topics discussed are Artin-Schelter regular algebras, point modules, and the noncommutative projective scheme associated to a graded algebra.
(11549 views)
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.
(21389 views)
Book cover: Lectures On Unique Factorization DomainsLectures On Unique Factorization Domains
by - Tata Institute Of Fundamental Research
In this book we shall study some elementary properties of Krull rings and factorial rings, regular rings (local and factorial), and descent methods (Galoisian descent, the Purely inseparable case, formulae concerning derivations).
(12748 views)
Book cover: Lie AlgebrasLie Algebras
by
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.
(20233 views)