A formula for the logarithm of the KZ associator
We prove that the logarithm of a group-like element in a free algebra coincides with its image by a certain linear map. We use this result and the formula of Le and Murakami for the Knizhnik-Zamolodchikov (KZ) associator Φ to derive a formula for log(Φ) in terms of MZV's (multiple zeta values)....
Збережено в:
| Дата: | 2006 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146087 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A formula for the logarithm of the KZ associator / B. Enriquez, F. Gavarini // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 4 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146087 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1460872019-02-08T01:22:56Z A formula for the logarithm of the KZ associator Enriquez, B. Gavarini, F. We prove that the logarithm of a group-like element in a free algebra coincides with its image by a certain linear map. We use this result and the formula of Le and Murakami for the Knizhnik-Zamolodchikov (KZ) associator Φ to derive a formula for log(Φ) in terms of MZV's (multiple zeta values). 2006 Article A formula for the logarithm of the KZ associator / B. Enriquez, F. Gavarini // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 4 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 17B01; 81R50 http://dspace.nbuv.gov.ua/handle/123456789/146087 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 |
We prove that the logarithm of a group-like element in a free algebra coincides with its image by a certain linear map. We use this result and the formula of Le and Murakami for the Knizhnik-Zamolodchikov (KZ) associator Φ to derive a formula for log(Φ) in terms of MZV's (multiple zeta values). |
| format |
Article |
| author |
Enriquez, B. Gavarini, F. |
| spellingShingle |
Enriquez, B. Gavarini, F. A formula for the logarithm of the KZ associator Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Enriquez, B. Gavarini, F. |
| author_sort |
Enriquez, B. |
| title |
A formula for the logarithm of the KZ associator |
| title_short |
A formula for the logarithm of the KZ associator |
| title_full |
A formula for the logarithm of the KZ associator |
| title_fullStr |
A formula for the logarithm of the KZ associator |
| title_full_unstemmed |
A formula for the logarithm of the KZ associator |
| title_sort |
formula for the logarithm of the kz associator |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146087 |
| citation_txt |
A formula for the logarithm of the KZ associator / B. Enriquez, F. Gavarini // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 4 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT enriquezb aformulaforthelogarithmofthekzassociator AT gavarinif aformulaforthelogarithmofthekzassociator AT enriquezb formulaforthelogarithmofthekzassociator AT gavarinif formulaforthelogarithmofthekzassociator |
| first_indexed |
2023-05-20T17:23:47Z |
| last_indexed |
2023-05-20T17:23:47Z |
| _version_ |
1796153199489449984 |