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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 1, Pages 159–180
(Mi fpm801)
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This article is cited in 6 scientific papers (total in 6 papers)
Associative homotopy Lie algebras and Wronskians
A. V. Kiselev M. V. Lomonosov Moscow State University
Abstract:
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 $n\geq1$ independent variables.
Citation:
A. V. Kiselev, “Associative homotopy Lie algebras and Wronskians”, Fundam. Prikl. Mat., 11:1 (2005), 159–180; J. Math. Sci., 141:1 (2007), 1016–1030
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https://www.mathnet.ru/eng/fpm801 https://www.mathnet.ru/eng/fpm/v11/i1/p159
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Abstract page: | 330 | Full-text PDF : | 131 | References: | 42 | First page: | 1 |
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