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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| Дата: | 2012 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2012
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148388 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148388 |
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dspace |
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irk-123456789-1483882019-02-19T01:25:44Z Classification of Non-Affine Non-Hecke Dynamical R-Matrices Avan, J. Billaud, B. Rollet, G. 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. 2012 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/148388 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Avan, J. Billaud, B. Rollet, G. |
| spellingShingle |
Avan, J. Billaud, B. Rollet, G. Classification of Non-Affine Non-Hecke Dynamical R-Matrices Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Avan, J. Billaud, B. Rollet, G. |
| author_sort |
Avan, J. |
| title |
Classification of Non-Affine Non-Hecke Dynamical R-Matrices |
| title_short |
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_sort |
classification of non-affine non-hecke dynamical r-matrices |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148388 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT avanj classificationofnonaffinenonheckedynamicalrmatrices AT billaudb classificationofnonaffinenonheckedynamicalrmatrices AT rolletg classificationofnonaffinenonheckedynamicalrmatrices |
| first_indexed |
2023-05-20T17:30:37Z |
| last_indexed |
2023-05-20T17:30:37Z |
| _version_ |
1796153464191975424 |