Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1)
Takiff superalgebras are a family of non semi-simple Lie superalgebras that are believed to give rise to a rich structure of indecomposable representations of associated conformal field theories. We consider the Takiff superalgebra of gl(1|1), especially we perform harmonic analysis for the correspo...
Збережено в:
| Дата: | 2015 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147138 |
| 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: | Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1) / A. Babichenko, T. Creutzig // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 50 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147138 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1471382019-02-14T01:24:43Z Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1) Babichenko, A. Creutzig, T. Takiff superalgebras are a family of non semi-simple Lie superalgebras that are believed to give rise to a rich structure of indecomposable representations of associated conformal field theories. We consider the Takiff superalgebra of gl(1|1), especially we perform harmonic analysis for the corresponding supergroup. We find that every simple module appears as submodule of an infinite-dimensional indecomposable but reducible module. We lift our results to two free field realizations for the corresponding conformal field theory and construct some modules. 2015 Article Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1) / A. Babichenko, T. Creutzig // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 50 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17B67; 17B81; 22E46; 81R10; 81T40 DOI:10.3842/SIGMA.2015.067 http://dspace.nbuv.gov.ua/handle/123456789/147138 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 |
Takiff superalgebras are a family of non semi-simple Lie superalgebras that are believed to give rise to a rich structure of indecomposable representations of associated conformal field theories. We consider the Takiff superalgebra of gl(1|1), especially we perform harmonic analysis for the corresponding supergroup. We find that every simple module appears as submodule of an infinite-dimensional indecomposable but reducible module. We lift our results to two free field realizations for the corresponding conformal field theory and construct some modules. |
| format |
Article |
| author |
Babichenko, A. Creutzig, T. |
| spellingShingle |
Babichenko, A. Creutzig, T. Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1) Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Babichenko, A. Creutzig, T. |
| author_sort |
Babichenko, A. |
| title |
Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1) |
| title_short |
Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1) |
| title_full |
Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1) |
| title_fullStr |
Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1) |
| title_full_unstemmed |
Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1) |
| title_sort |
harmonic analysis and free field realization of the takiff supergroup of gl(1|1) |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147138 |
| citation_txt |
Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1) / A. Babichenko, T. Creutzig // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 50 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT babichenkoa harmonicanalysisandfreefieldrealizationofthetakiffsupergroupofgl11 AT creutzigt harmonicanalysisandfreefieldrealizationofthetakiffsupergroupofgl11 |
| first_indexed |
2023-05-20T17:26:41Z |
| last_indexed |
2023-05-20T17:26:41Z |
| _version_ |
1796153299925204992 |