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arxiv: hep-th/9307032 · v1 · submitted 1993-07-06 · ✦ hep-th · math.QA

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

classification ✦ hep-th math.QA
keywords algebradeformedcomultiplicationhopfalgebrasallowarguebosons
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We 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.

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