Hermitian representations of the extended affine Lie algebra $\widetilde{\frak{gl}_{2}(\bc_q)}$

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dc.creatorGao, Yun
dc.creatorZeng, Ziting
dc.date2005-12-02
dc.date.accessioned2026-07-07T06:54:47Z
dc.date.available2026-07-07T06:54:47Z
dc.descriptionWe use the idea of free fields to obtain highest weight representations for the extended affine Lie algebra $\widetilde{\frak{gl}_{2}(\bc_q)}$ coordinatized by the quantum torus $\bc_q$ and go on to construct a contravariant hermitian form. We further give a necessary and sufficient condition such that the contravariant hermitian form is positive definite.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0512046
dc.identifierhttp://arxiv.org/abs/math/0512046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106060
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject16G30
dc.titleHermitian representations of the extended affine Lie algebra $\widetilde{\frak{gl}_{2}(\bc_q)}$
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