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

G. H. E. Duchamp (LIPN) , P. Blasiak (IFJ-Pan) , A. Horzela (IFJ-Pan) , K. A. Penson (LPTMC) , A. I. Solomon

Authors on Pith no claims yet

classification 🪐 quant-ph cs.SCmath.CO

keywords hopfphysicsalgebrasintroductiontakenaccessibleaimedalgebra

read the original abstract

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.

This paper has not been read by Pith yet.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Fine-Tuning Small Reasoning Models for Quantum Field Theory
cs.LG 2026-04 unverdicted novelty 7.0

Small 7B reasoning models were fine-tuned on synthetic and curated QFT problems using RL and SFT, yielding performance gains, error analysis, and public release of data and traces.