@article {
author = {Ebrahimi, Neda and Waezizadeh, Tayebeh},
title = {On hyperactions and Lie hypergroup},
journal = {Journal of Finsler Geometry and its Applications},
volume = {3},
number = {1},
pages = {127-140},
year = {2022},
publisher = {University of Mohaghegh Ardabili},
issn = {2783-0500},
eissn = {2783-0500},
doi = {10.22098/jfga.2022.10397.1060},
abstract = {Using the action of a Lie group on a hypergroup, the notion of Lie hypergroup is defined. It is proved that tangent space of a Lie hypergroup is a hypergroup and that a differentiable map between two Lie hypergroup is good homomorphism if and only if its differential map is a good homomorphism. The action of a hypergroup on a set is defined. Using this notion, hypergroup bundle is introduced and some of its basic properties are investigated. In addition, some results on qutient hypergroups are given.},
keywords = {Hypergroup,Action,Quotient Space,Sub Hypergroup,Hypergroup Bundle},
url = {https://jfga.uma.ac.ir/article_1737.html},
eprint = {https://jfga.uma.ac.ir/article_1737_36770bf1a9dc5cc022cdf7334ddea58d.pdf}
}