Nonassociative algebras related to Hamiltonian operators in the formal calculus of variations

JM Osborn, E Zelmanov - Journal of Pure and Applied Algebra, 1995 - Elsevier
JM Osborn, E Zelmanov
Journal of Pure and Applied Algebra, 1995Elsevier
Nonassociative algebras related to Hamiltonian operators in the formal calculus of variations
Page 1 JOURNAL OF PURE AND APPLIED ALGEBRA EISEYIER Journal of Pure and Applied
Algebra 101 (1995) 335-352 Nonassociative algebras related to Hamiltonian operators in the
formal calculus of variations J. Marshall Osborn*, Efim Zelmanov Department of Mathematics.
Universi(y of Wisconsin, Van Vleck Hall, 480 Lincoln Drive, Madison, WI 53 706, USA
Communicated by KW Gruenberg; received 15 January 1993; revised 10 March 1994 Abstract …
The main result in this paper is the classification of simple Novikov algebras A with a maximal subalgebra H such that A H has a finite-dimensional irreducible H-submodule. A second result deals with the extension of Hamiltonian operators.
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