Quasifinite representations of W_{\infty}

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dc.creatorKac, Victor G.
dc.creatorLiberati, Jose I.
dc.date1999-10-29
dc.date.accessioned2026-07-07T05:31:21Z
dc.date.available2026-07-07T05:31:21Z
dc.descriptionWe classify the quasifinite highest weight modules over a family of subalgebras W_{\infty}^{n} of the central extension W_{1+\infty} of the Lie algebra of differential operators on the circle consisting of operators of order \geq n. We classify the unitary quasifinite highest weight modules over W_{\infty}=W_{\infty}^{1} and realize them in terms of unitary highest weight representations of the Lie algebra of infinite matrices with finitely many non-zero diagonals.
dc.descriptionAmstex, 18 pages
dc.identifierhttps://arxiv.org/abs/math/9910172
dc.identifierhttp://arxiv.org/abs/math/9910172
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79311
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleQuasifinite representations of W_{\infty}
dc.typetext

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