%0 Journal Article
%T On hyperactions and Lie hypergroup
%J Journal of Finsler Geometry and its Applications
%I University of Mohaghegh Ardabili
%Z 2783-0500
%A Ebrahimi, Neda
%A Waezizadeh, Tayebeh
%D 2022
%\ 07/01/2022
%V 3
%N 1
%P 127-140
%! On hyperactions and Lie hypergroup
%K Hypergroup
%K Action
%K Quotient Space
%K Sub Hypergroup
%K Hypergroup Bundle
%R 10.22098/jfga.2022.10397.1060
%X 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.
%U https://jfga.uma.ac.ir/article_1737_36770bf1a9dc5cc022cdf7334ddea58d.pdf