Hopf algebras arising from partial (co)actions
Representation Theory
2019-11-12 v1 Quantum Algebra
Abstract
In this paper, extending the idea presented by M. Takeuchi in [13], we introduce the notion of partial matched pair involving the concepts of partial action and partial coaction between two Hopf algebras and . Furthermore, we present necessary conditions for the corresponding bismash product to generate a new Hopf algebra and, as illustration, a family of examples is provided.
Keywords
Cite
@article{arxiv.1911.03939,
title = {Hopf algebras arising from partial (co)actions},
author = {Danielle Azevedo and Grasiela Martini and Antonio Paques and Leonardo Silva},
journal= {arXiv preprint arXiv:1911.03939},
year = {2019}
}