Translation Hopf algebras and Hopf heaps
Quantum Algebra
2023-03-24 v1
Abstract
To every Hopf heap or quantum cotorsor of Grunspan a Hopf algebra of translations is associated. This translation Hopf algebra acts on the Hopf heap making it a Hopf-Galois co-object. Conversely, any Hopf-Galois co-object has the natural structure of a Hopf heap with the translation Hopf algebra isomorphic to the acting Hopf algebra. It is then shown that this assignment establishes an equivalence between categories of Hopf heaps and Hopf-Galois co-objects.
Keywords
Cite
@article{arxiv.2303.13154,
title = {Translation Hopf algebras and Hopf heaps},
author = {Tomasz Brzeziński and Małgorzata Hryniewicka},
journal= {arXiv preprint arXiv:2303.13154},
year = {2023}
}
Comments
14 pages