Bosonic representations of Yangian Double $\cD Y_{\hbar}(\gtg)$ with $\gtg=\gtgl_N,\gtsl_N$

dc.creatorIohara, Kenji
dc.date1996-04-01
dc.date.accessioned2026-07-07T09:16:54Z
dc.date.available2026-07-07T09:16:54Z
dc.descriptionOn the basis of `$RTT=TTR$' formalism, we introduce the quantum double of the Yangian $Y_{\hbar}(\gtg)$ for $\gtg=\gtgl_N,\gtsl_N$ with a central extension. The Gauss decomposition of T-matrices gives us the so-called Drinfel'd generators. Using these generators, we present some examples of both finite and infinite dimensional representations that are quite natural deformations of the corresponding affine counterpart.
dc.description33 pages, AmsLatex file, Submitted to Jour. of Phys. A
dc.identifierhttps://arxiv.org/abs/q-alg/9603033
dc.identifierhttp://arxiv.org/abs/q-alg/9603033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153520
dc.subjectQuantum Algebra
dc.titleBosonic representations of Yangian Double $\cD Y_{\hbar}(\gtg)$ with $\gtg=\gtgl_N,\gtsl_N$
dc.typetext

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