By means of the q-fermion and q-boson realization methods, some finite-dimensional irreducible representations of the quantum affine algebra U(q)(sl2), in which the central element is represented as an arbitrary nonzero constant, are explicitly constructed when q is a root of unity.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1994QH22200014&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Physics, MultidisciplinarySCI(E)中国科学引文数据库(CSCD)0ARTICLE4487-4902
The complementarity relationship (also termed duality) that arises between the irreps of the su(3) a...
AbstractLet Uq(b) denote the standard Borel subalgebra of the quantum affine algebra Uq(slˆ2). We sh...
9 pages, plain TeX ; due to the renewed interest in quantum groups at roots of unity, we put this pa...
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We prove an analogue of the Sylvester theorem for the generator matrices of the quantum affine algeb...
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A reducible representation of the simple Lie superalgebra osp(1,2) is constructed from two pairs of ...
Abstract. The q-characters were introduced by Frenkel and Reshetikhin [FR2] to study nite dimen-sion...
25 pages - TheorieThe concept of a quantum algebra is made easy through the investigation of the pro...
Schematic su(2)+h3 interaction Hamiltonians, where su(2) plays the role of the pseudo-spin algebra o...
Level-one representations of the quantum affine superalgebra U-q[gl((N) over cap\N)] associated with...
The duality between the quantum algebra Uq(sl(n)) and the Hecke algebra Hm(q2) first pointed out by ...
Irreducible representations of quantum groups $SL_q(2)$ (in Woronowicz' approach) were classified in...
The complementarity relationship (also termed duality) that arises between the irreps of the su(3) a...
AbstractLet Uq(b) denote the standard Borel subalgebra of the quantum affine algebra Uq(slˆ2). We sh...
9 pages, plain TeX ; due to the renewed interest in quantum groups at roots of unity, we put this pa...
AbstractWe consider various specializations of the untwisted quantum affine algebras at roots of uni...
We construct a realization of the quantum affine algebra $U_q(\widehat{sl_N})$ of an arbitrary level...
AbstractThe q-characters were introduced by Frenkel and Reshetikhin [The q-characters of representat...
We prove an analogue of the Sylvester theorem for the generator matrices of the quantum affine algeb...
AbstractWe introduce the notion of quantum Z-algebras for the quantum affine algebra. After developi...
A reducible representation of the simple Lie superalgebra osp(1,2) is constructed from two pairs of ...
Abstract. The q-characters were introduced by Frenkel and Reshetikhin [FR2] to study nite dimen-sion...
25 pages - TheorieThe concept of a quantum algebra is made easy through the investigation of the pro...
Schematic su(2)+h3 interaction Hamiltonians, where su(2) plays the role of the pseudo-spin algebra o...
Level-one representations of the quantum affine superalgebra U-q[gl((N) over cap\N)] associated with...
The duality between the quantum algebra Uq(sl(n)) and the Hecke algebra Hm(q2) first pointed out by ...
Irreducible representations of quantum groups $SL_q(2)$ (in Woronowicz' approach) were classified in...
The complementarity relationship (also termed duality) that arises between the irreps of the su(3) a...
AbstractLet Uq(b) denote the standard Borel subalgebra of the quantum affine algebra Uq(slˆ2). We sh...
9 pages, plain TeX ; due to the renewed interest in quantum groups at roots of unity, we put this pa...