By Lemma 2.1, classifying the Novikov algebras with associated Lie algebra equal to g is the same as listing the Aut(g)-orbits on T(g). In order to carry this out we write an element of Aut(g) as an n × n-matrix, with indeterminates as entries that satisfy some polynomial equations.
Jun 29, 2011 · We describe a method for classifying the Novikov algebras with a given associated Lie algebra. Subsequently we give the classification of the ...
Nov 21, 2012 · We describe a method for classifying the Novikov algebras with a given associated Lie algebra. Subsequently we give the classification of ...
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We describe a method for classifying the Novikov algebras with a given associated Lie algebra. Subsequently we give the classification of the Novikov algebras ...
We describe a method for classifying the Novikov algebras with a given associated Lie algebra. Subsequently we give the classification of the Novikov ...
This paper is devoted to the complete algebraic and geometric classification of 4-dimensional nilpotent Novikov algebras over ℂ . Previous article in issue
[PDF] Classification of Simple Novikov Algebras and Their Irreducible ...
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In this paper, we first present a classification theorem of simple infinite-dimensional Novikov algebras over an algebraically closed field of characteristic 0.
Abstract. Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic-type and Hamiltonian operators in the formal variational ...
Feb 1, 2024 · Abstract:This paper is devoted to the complete algebraic classification of complex 5-dimensional nilpotent Novikov algebras. Comments: arXiv ...
Nov 21, 2012 · 5) we have classified all 4-dimensional Novikov algebras over C that have a nilpotent associated Lie algebra (not just the complete ones).