A q-analogue of the centralizer construction and skew representations of the quantum Affine algebra
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A q-analogue of the centralizer construction and skew representations of the quantum Affine algebra
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| Creator |
Hopkins, M.J.
Molev, A.I. |
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| Description |
We prove an analogue of the Sylvester theorem for the generator matrices of the quantum affine algebra Uq(gln). 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 calculating their highest weight, Drinfeld polynomials and the Gelfand-Tsetlin character (or q-character). We also apply the quantum Sylvester theorem to construct a q-analogue of the Olshanski algebra as a projective limit of certain centralizers in Uq(gln) and show that this limit algebra contains the q-Yangian as a subalgebra.
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| Date |
2019-02-06T16:48:55Z
2019-02-06T16:48:55Z 2006 |
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| Type |
Article
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| Identifier |
A q-analogue of the centralizer construction and skew representations of the quantum Affine algebra / M.J. Hopkins, A.I. Molev // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 30 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 81R10 http://dspace.nbuv.gov.ua/handle/123456789/146061 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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