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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

E. B. Vinberg
Chair of Algebra, Dept. of Mechanics and Mathematics, Moscow State University, Moscow 119991, Russia

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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