A q-Analogue of the Centralizer Construction and Skew Representations of the Quantum Affine Algebra
We prove an analogue of the Sylvester theorem for the generator matrices of the quantum affine algebra ${ m U}_q(widehat{mathfrak{gl}}_n)$. We then use it to give an explicit realization of the skew representations of the quantum affine algebra. This allows one to identify them in a simple way by ca...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
National Academy of Science of Ukraine
2006-12-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://www.emis.de/journals/SIGMA/2006/Paper092/ |