Journal of Lie Theory 23 (2013), No. 1, 127--142
Copyright Heldermann Verlag 2013
Lie Hypergroups
Massoud Amini
Dept. of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran 14115-134, Iran
mamini@modares.ac.ir
Abbas Heydari
Dept. of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran 14115-134, Iran
aheydari@modares.ac.ir
Megerdich Toomanian
Dept. of Mathematics, Islamic Azad University, Karaj-Branch, Iran
megerdich.toomanian@kiau.ac.ir
We define Lie hypergroups and study their embedded and immersed subhypergroups. In particular we investigate the properties of the connected component of the identity, the universal covering and fundamental group of a Lie hypergroup. We also study the quotients and orbits in a Lie hypergroup.
Keywords: Hypergroup, Lie group, Lie hypergroup.
MSC: 43A62, 57T15
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