Journal of Lie Theory 26 (2016), No. 3, 729--729
Copyright Heldermann Verlag 2016
Erratum to "Lie Hypergroups", Journal of Lie Theory 23 (2013) 127--142
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
Theorem 3.3 and most parts of Example 3.4 are not correct as stated. In Theorem 3.3, the double coset space H\G/H and orbit space GH may fail to be a manifold (with boundary) and also there is a gap in the proof of smoothness of the convolution.
Keywords: Hypergroup, Lie group, Lie hypergroup.
MSC: 43A62, 57T15
[ Fulltext-pdf (77 KB)] for subscribers only.