Derivation-Simple Algebras and the Structures of Generalized Lie Algebras of Witt Type

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dc.creatorSu, Yucai
dc.creatorXu, Xiaoping
dc.creatorZhang, Hechun
dc.date2000-01-30
dc.date.accessioned2026-07-07T04:33:30Z
dc.date.available2026-07-07T04:33:30Z
dc.descriptionWe classify all the 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 over an algebraically closed field with characteristic 0. Such pairs are the fundamental ingredients for constructing generalized simple Lie algebras of Cartan type. Moreover, we determine the isomorphic classes of the generalized simple Lie algebras of Witt Type. The structure space of these algebras is given explicitly.
dc.description20pages, Latex file; To appear in Journal of Algebra
dc.identifierhttps://arxiv.org/abs/math/0001178
dc.identifierhttp://arxiv.org/abs/math/0001178
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58598
dc.subjectQuantum Algebra
dc.titleDerivation-Simple Algebras and the Structures of Generalized Lie Algebras of Witt Type
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