Highest weight vectors of irreducible representations of the quantum superalgebra U_q(gl(m,n))

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dc.creatorMoon, Dongho
dc.date2001-05-25
dc.date.accessioned2026-07-07T04:41:50Z
dc.date.available2026-07-07T04:41:50Z
dc.descriptionThe Iwahori-Hecke algebra of type A acts on tensor product space of the natural representation of the quantum superalgebra U_q(gl(m,n)). We show this action of the Hecke algebra and the action of U_q(gl(m,n)) on the same space determine commuting actions of each other. Together with this result and Gyoja's q-analogue of the Young symmetrizer, we construct a highest weight vector of each irreducible summmand of the tensor product space.
dc.identifierhttps://arxiv.org/abs/math/0105204
dc.identifierhttp://arxiv.org/abs/math/0105204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61528
dc.subjectQuantum Algebra
dc.subject17B37;20C15; 17B70
dc.titleHighest weight vectors of irreducible representations of the quantum superalgebra U_q(gl(m,n))
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