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Classification of Non-Affine Non-Hecke Dynamical R-Matrices
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Classification of Non-Affine Non-Hecke Dynamical R-Matrices
Інший ID:
2010 Mathematics Subject Classification: 16T25; 17B37; 81R12; 81R50
DOI: http://dx.doi.org/10.3842/SIGMA.2012.064
DOI: http://dx.doi.org/10.3842/SIGMA.2012.064
Посилання:
Classification of Non-Affine Non-Hecke Dynamical R-Matrices / J. Avan, B. Billaud, G. Rollet // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 25 назв. — англ.
Підтримка:
This work was supported by CNRS, Universit´e de Cergy Pontoise, and ANR Project DIADEMS (Programme Blanc ANR SIMI 1 2010-BLAN-0120-02). We wish to thank Dr. Thierry Gobron for interesting discussions and comments on the structure of ∆-incidence matrices, and Professor Laszlo Feh´er for pointing out to us reference [5]. Finally we thank the anonymous referees for their careful study and their relevant contributions to improve the paper.
Дата:
2012
Переглядів:
500
Завантажень:
242
Анотація:
A complete classification of non-affine dynamical quantum R-matrices obeying the Gln(C)-Gervais-Neveu-Felder equation is obtained without assuming either Hecke or weak Hecke conditions. More general dynamical dependences are observed. It is shown that any solution is built upon elementary blocks, which individually satisfy the weak Hecke condition.
