q-Witt Algebras, q-Virasoro algebra, q-Lie Algebras, q-Holomorph Structure and Representations

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dc.creatorHu, Naihong
dc.date2005-12-22
dc.date.accessioned2026-07-07T06:55:41Z
dc.date.available2026-07-07T06:55:41Z
dc.descriptionFor q generic or a primitive l-th root of unity, q-Witt algebras are described by means of q-divided power algebras. The structure of the universal q-central extension of the q-Witt algebra, the q-Virasoro algebra, is also determined. q-Lie algebras are investigated and the q-PBW theorem for the universal enveloping algebras of q-Lie algebras is proved. A realization of a class of representations of the q-Witt algebras is given. Based on it, the q-holomorph structure for the q-Witt algebras is constructed, which interprets the realization in the context of representation theory.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0512526
dc.identifierhttp://arxiv.org/abs/math/0512526
dc.identifierAlgebra Colloquium 6 (1) (1999), 51--70
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106361
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B37
dc.titleq-Witt Algebras, q-Virasoro algebra, q-Lie Algebras, q-Holomorph Structure and Representations
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