M. G. Cowling, M. Ganji, A. Ottazzi, G. Schmalz
We show that a connected, simply connected nilpotent Lie group with an integrable left-invariant complex structure on a generating and suitably complemented subbundle of the tangent bundle admits a CR embedding in complex space as the edge of a wedge in a complex domain defined by polynomials.
This paper contains 4 sections, 6 theorems, 45 equations.
Theorem 1
Every nilpotent Lie group with an integrable left-invariant horizontal CR structure of type $(n,k)$ admits a CR embedding $\iota$ into $\mathbb{C}^{n+k}$ of the form where ${\bf x},{\bf y}\in {\mathbb R}^n, {\bf u}\in {\mathbb R}^k$, ${\bf p}({\bf x},{\bf y})$ is a vector of $n$ (possibly complex valued) polynomials, and ${\bf q}({\bf x},{\bf y},{\bf t})$ is a vector of $k$ (possibly complex valu
