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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011 Number 1, Pages 63–65 (Mi vmumm659)

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Wronskian of derivations

G. A. Pogudin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: 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.

UDC: 5512.554.35+512.554.37+512.62+512.643.2:517.41+517.925.53

Received: 23.10.2009


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2011, 66:1, 47–49

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