
doi: 10.4171/rmi/443
handle: 11585/6958
We prove that every homogeneous Carnot group can be lifted to a free homogeneous Carnot group. Though following the ideas of Rothschild and Stein, we give simple and self-contained arguments, providing a constructive proof, as shown in the examples.
22E60, 43A80, Analysis on other specific Lie groups, Carnot groups, Subelliptic equations, lifting of vector fields, explicit formula for the fundamental solutions, Fundamental solutions to PDEs, free groups, fundamental solutions, 35H20
22E60, 43A80, Analysis on other specific Lie groups, Carnot groups, Subelliptic equations, lifting of vector fields, explicit formula for the fundamental solutions, Fundamental solutions to PDEs, free groups, fundamental solutions, 35H20
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