Classification of Non-Affine Non-Hecke Dynamical R-Matrices
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, wh...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2012 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2012
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148388 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862742019098542080 |
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| author | Avan, J. Billaud, B. Rollet, G. |
| author_facet | Avan, J. Billaud, B. Rollet, G. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-07T20:23:29Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148388 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:23:29Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Avan, J. Billaud, B. Rollet, G. 2019-02-18T11:24:14Z 2019-02-18T11:24:14Z 2012 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. 1815-0659 2010 Mathematics Subject Classification: 16T25; 17B37; 81R12; 81R50 DOI: http://dx.doi.org/10.3842/SIGMA.2012.064 https://nasplib.isofts.kiev.ua/handle/123456789/148388 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Classification of Non-Affine Non-Hecke Dynamical R-Matrices Article published earlier |
| spellingShingle | Classification of Non-Affine Non-Hecke Dynamical R-Matrices Avan, J. Billaud, B. Rollet, G. |
| title | Classification of Non-Affine Non-Hecke Dynamical R-Matrices |
| title_full | Classification of Non-Affine Non-Hecke Dynamical R-Matrices |
| title_fullStr | Classification of Non-Affine Non-Hecke Dynamical R-Matrices |
| title_full_unstemmed | Classification of Non-Affine Non-Hecke Dynamical R-Matrices |
| title_short | Classification of Non-Affine Non-Hecke Dynamical R-Matrices |
| title_sort | classification of non-affine non-hecke dynamical r-matrices |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148388 |
| work_keys_str_mv | AT avanj classificationofnonaffinenonheckedynamicalrmatrices AT billaudb classificationofnonaffinenonheckedynamicalrmatrices AT rolletg classificationofnonaffinenonheckedynamicalrmatrices |