Is it possible to extend the deformed Weyl algebra $W_q(n)$ to a Hopf algebra?

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dc.creatorPalev, T. D.
dc.date1993-07-06
dc.date.accessioned2026-07-07T09:14:05Z
dc.date.available2026-07-07T09:14:05Z
dc.descriptionWe argue that the algebra $W_q(n)$, generated by $n$ pairs of deformed $q$-bosons, does not allow a Hopfalgebra structure. To this end we show that it is impossible to define a comultiplication even for the usual, nondeformed case. We indicate how the comultiplication on $U_q[osp(1/2n)]$ can be used in order to construct representations of deformed (not necessarily Hopf) algebras in tensor products of Fock spaces.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9307032
dc.identifierhttp://arxiv.org/abs/hep-th/9307032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152548
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleIs it possible to extend the deformed Weyl algebra $W_q(n)$ to a Hopf algebra?
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