Journal of Lie Theory 29 (2019), No. 1, 079--087
Copyright Heldermann Verlag 2019
On Free Two-Step Nilpotent Lie Semigroups and Inequalities between Random Variables
H. Abels
Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany
herbert.abels@googlemail.com
E. B. Vinberg
Chair of Algebra, Dept. of Mechanics and Mathematics, Moscow State University, Moscow 119991, Russia
evinberg@gmail.com
The free 2-step nilpotent Lie semigroup of rank 3 is explicitly described and a probability-theoretic interpretation of this description is given.
Keywords: Lie group, Lie semigroup, nilpotent group, random variable.
MSC: 22E25, 60G50
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