Structure of Divergence-Free Lie Algebras

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dc.creatorSu, Yucai
dc.creatorXu, Xiaoping
dc.date2000-05-31
dc.date.accessioned2026-07-25T22:47:20Z
dc.descriptionOne 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.
dc.description36 pages; Latex file
dc.identifierhttps://arxiv.org/abs/math/0005286
dc.identifierhttp://arxiv.org/abs/math/0005286
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/92513
dc.subjectQuantum Algebra
dc.titleStructure of Divergence-Free Lie Algebras
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