**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

**A Treatise on the Theory of Invariants**

by

**Oliver E. Glenn**-

**Project Gutenberg**

The object of this book is to present in a volume of medium size the fundamental principles and processes and a few of the multitudinous applications of invariant theory, with emphasis upon both the nonsymbolical and the symbolical method.

(

**6146**views)

**Lectures on Quadratic Forms**

by

**C.L. Siegel**-

**Tata Institute of Fundamental Research**

From the table of contents: Vector groups and linear inequalities (Vector groups, Lattices, Characters, Diophantine approximations); Reduction of positive quadratic forms; Indefinite quadratic forms; Analytic theory of Indefinite quadratic forms.

(

**5856**views)

**Infinite-dimensional Lie Algebras**

by

**Iain Gordon**-

**University of Edinburgh**

Contents: Central extensions; Virasoro algebra; Heisenberg algebra; Enveloping algebras; Hands-on loop and affine algebras; Simple Lie algebras; Kac-Moody Lie algebras; Dynkin diagrams; Forms, Weyl groups and roots; Root spaces; Affine Lie algebras.

(

**7211**views)

**An Invitation to General Algebra and Universal Constructions**

by

**George M. Bergman**-

**Henry Helson**

From the contents: Free groups; Ordered sets, induction, and the Axiom of Choice; Lattices, closure operators, and Galois connections; Categories and functors; Universal constructions in category-theoretic terms; Varieties of algebras; etc.

(

**8446**views)