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Structure of Divergence-Free Lie Algebras

Yucai Su·Xiaoping Xu
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Abstract

One of the four well-known series of simple Lie algebras of Cartan type is the series of Lie algebras of Special type, which are divergence-free Lie algebras associated with polynomial algebras and the operators of taking partial derivatives, connected with volume-preserving diffeomorphisms. In this paper, we determine the structure space of the divergence-free Lie algebras associated with pairs of a commutative associative algebra with an identity element and its finite-dimensional commutative locally-finite derivation subalgebra such that the commutative associative algebra is derivation-simple with respect to the derivation subalgebra.

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BibTeXRIS

Yucai Su, Xiaoping Xu. 2000-05-31. Structure of Divergence-Free Lie Algebras. https://arxiv.org/abs/math/0005286

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