Approximation of graded bialgebras
Quantum Algebra
2025-02-18 v2 Category Theory
Rings and Algebras
Abstract
Motivated by an equivalence of categories established by Kapranov and Schechtman, we introduce, for each non-negative integer d, the category of connected bialgebras modulo d+1. We show that these categories fit into an inverse system of categories whose inverse limit category is equivalent to the category of connected bialgebras. In addition, we extend the notion of approximation of connected bialgebras to those that are not necessarily generated in degree 1 and show that, for connected bialgebras in the category of Yetter-Drinfeld modules over a Hopf algebra, approximation is compatible with cocycle twisting.
Cite
@article{arxiv.2412.00234,
title = {Approximation of graded bialgebras},
author = {Giovanna Carnovale and Francesco Esposito and Lleonard Rubio y Degrassi},
journal= {arXiv preprint arXiv:2412.00234},
year = {2025}
}
Comments
showkeys removed