FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 1, PAGES 159-180

**Associative homotopy Lie algebras and Wronskians**

A. V. Kiselev

Abstract

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We analyze representations of Schlessinger--Stasheff associative
homotopy Lie algebras by higher-order differential operators.
$W$-transformations of chiral
embeddings of a complex curve related with the Toda equations
into Kähler manifolds are shown to be endowed with the homotopy
Lie-algebra structures.
Extensions of the Wronskian determinants preserving
Schlessinger--Stasheff algebras are constructed for the case of
$n$³
1 independent variables.

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Last modified: April 27, 2005