Dynamical R matrices of elliptic quantum groups and connection matrices for the q-KZ equations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Dynamical R matrices of elliptic quantum groups and connection matrices for the q-KZ equations
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| Creator |
Konno, H.
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| Description |
For any affine Lie algebra g, we show that any finite dimensional representation of the universal dynamical R matrix R(λ) of the elliptic quantum group Bq,λ(g) coincides with a corresponding connection matrix for the solutions of the q-KZ equation associated with Uq(g). This provides a general connection between Bq,l(g) and the elliptic face (IRF or SOS) models. In particular, we construct vector representations of R(λ) for g = An⁽¹⁾, Bn⁽¹⁾, Cn⁽¹⁾, Dn⁽¹⁾, and show that they coincide with the face weights derived by Jimbo, Miwa and Okado. We hence confirm the conjecture by Frenkel and Reshetikhin.
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| Date |
2019-02-06T17:13:12Z
2019-02-06T17:13:12Z 2006 |
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| Type |
Article
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| Identifier |
Dynamical R matrices of elliptic quantum groups and connection matrices for the q-KZ equations / H. Konno // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 38 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 33D15; 81R50; 82B23 http://dspace.nbuv.gov.ua/handle/123456789/146062 |
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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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