Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman & Mahani Mathematical Reaserch Center, 7616914111, Kerman, Iran.
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.
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Ebrahimi, N., & Waezizadeh, T. (2022). On hyperactions and Lie hypergroup. Journal of Finsler Geometry and its Applications, 3(1), 127-140. doi: 10.22098/jfga.2022.10397.1060
MLA
Neda Ebrahimi; Tayebeh Waezizadeh. "On hyperactions and Lie hypergroup", Journal of Finsler Geometry and its Applications, 3, 1, 2022, 127-140. doi: 10.22098/jfga.2022.10397.1060
HARVARD
Ebrahimi, N., Waezizadeh, T. (2022). 'On hyperactions and Lie hypergroup', Journal of Finsler Geometry and its Applications, 3(1), pp. 127-140. doi: 10.22098/jfga.2022.10397.1060
VANCOUVER
Ebrahimi, N., Waezizadeh, T. On hyperactions and Lie hypergroup. Journal of Finsler Geometry and its Applications, 2022; 3(1): 127-140. doi: 10.22098/jfga.2022.10397.1060
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