
Journal of Lie Theory 23 (2013), No. 1, 127142 Copyright Heldermann Verlag 2013 Lie Hypergroups Massoud Amini Dept. of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran 14115134, Iran mamini@modares.ac.ir Abbas Heydari Dept. of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran 14115134, Iran aheydari@modares.ac.ir Megerdich Toomanian Dept. of Mathematics, Islamic Azad University, KarajBranch, 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 [ Fulltextpdf (311 KB)] for subscribers only. 