Link of groups and homogeneous Hörmander operators

Kogoj, Alessia; Lanconelli, Ermanno

doi:10.1090/S0002-9939-07-08646-7

Link of groups and homogeneous Hörmander operators
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by Alessia Elisabetta Kogoj and Ermanno Lanconelli PDF

Proc. Amer. Math. Soc. 135 (2007), 2019-2030 Request permission

Abstract:

We study a notion of link of Lie groups suggested by the structure of the partial differential operators of Kolmogorov type. As an application of our link procedure we construct explicit examples of stratified Lie groups, with dimension and step arbitrarily large. We also give a set of examples of hypoelliptic second-order operators which are left translation invariant and homogeneous of degree two on the previous groups.

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