Вестник Московского Университета. Математика, Механика - Содержание

Wronskian of Derivations  / Pogudin G.A. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. № 1. P. 63-65 [Moscow Univ. Math. Bulletin. Vol. 66, No 1, 2011. P. 47-49].

An associative multilinear polynomial depending on 16 variables and being skew-symmetric with respect to 12 of them is presented. This polynomial provides us with a mapping recovering the algebra of regular functions of an irreducible affine variety from any smooth involutive distribution of dimension 2.

Key words: derivation, algebraic variety, Wronskian, involutive distribution, smooth distribution, recovery polynomial, standard polynomial, Lie algebra.