Enumerations of ideals in niltriangular subalgebra of Chevalley algebras

Let $N\Phi(K)$ be the niltriangular subalgebra of Chevalley algebra over a field $K$ associated with a root system $\Phi$. We consider certain non-associative enveloping algebras for some Lie algebra $N\Phi(K)$. We also study the problem of enumeration of standard ideals in algebra $N\Phi(K)$ over any finite field $K;$ for classical Lie types this is the problem which was written earlier (2001).