TY - JOUR
ID - 1737
TI - On hyperactions and Lie hypergroup
JO - Journal of Finsler Geometry and its Applications
JA - JFGA
LA - en
SN -
AU - Ebrahimi, Neda
AU - Waezizadeh, Tayebeh
AD - Department of Pure Mathematics, Faculty of Mathematics and Computer,
Shahid Bahonar University of Kerman & Mahani Mathematical Reaserch
Center, 7616914111, Kerman, Iran.
Y1 - 2022
PY - 2022
VL - 3
IS - 1
SP - 127
EP - 140
KW - Hypergroup
KW - Action
KW - Quotient Space
KW - Sub Hypergroup
KW - Hypergroup Bundle
DO - 10.22098/jfga.2022.10397.1060
N2 - 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.
UR - https://jfga.uma.ac.ir/article_1737.html
L1 - https://jfga.uma.ac.ir/article_1737_36770bf1a9dc5cc022cdf7334ddea58d.pdf
ER -