Siberian Federal University

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