Classification of Uq(sl₂)-Module Algebra Structures on the Quantum Plane
A complete list of Uq(sl₂)-module algebra structures on the quantum plane is produced and the (uncountable family of) isomorphism classes of these structures are described. The composition series of representations in question are computed. The classical limits of the Uq(sl₂)-module algebra structur...
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| Дата: | 2010 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2010
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106653 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Classification of Uq(sl₂)-Module Algebra Structures on the Quantum Plane / S. Duplij, S. Sinel’shchikov // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 4. — С. 406-430. — Бібліогр.: 13 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-106653 |
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irk-123456789-1066532016-10-02T03:02:56Z Classification of Uq(sl₂)-Module Algebra Structures on the Quantum Plane Duplij, S. Sinel’shchikov, S. A complete list of Uq(sl₂)-module algebra structures on the quantum plane is produced and the (uncountable family of) isomorphism classes of these structures are described. The composition series of representations in question are computed. The classical limits of the Uq(sl₂)-module algebra structures are discussed. 2010 Article Classification of Uq(sl₂)-Module Algebra Structures on the Quantum Plane / S. Duplij, S. Sinel’shchikov // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 4. — С. 406-430. — Бібліогр.: 13 назв. — англ. 1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106653 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
A complete list of Uq(sl₂)-module algebra structures on the quantum plane is produced and the (uncountable family of) isomorphism classes of these structures are described. The composition series of representations in question are computed. The classical limits of the Uq(sl₂)-module algebra structures are discussed. |
| format |
Article |
| author |
Duplij, S. Sinel’shchikov, S. |
| spellingShingle |
Duplij, S. Sinel’shchikov, S. Classification of Uq(sl₂)-Module Algebra Structures on the Quantum Plane Журнал математической физики, анализа, геометрии |
| author_facet |
Duplij, S. Sinel’shchikov, S. |
| author_sort |
Duplij, S. |
| title |
Classification of Uq(sl₂)-Module Algebra Structures on the Quantum Plane |
| title_short |
Classification of Uq(sl₂)-Module Algebra Structures on the Quantum Plane |
| title_full |
Classification of Uq(sl₂)-Module Algebra Structures on the Quantum Plane |
| title_fullStr |
Classification of Uq(sl₂)-Module Algebra Structures on the Quantum Plane |
| title_full_unstemmed |
Classification of Uq(sl₂)-Module Algebra Structures on the Quantum Plane |
| title_sort |
classification of uq(sl₂)-module algebra structures on the quantum plane |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106653 |
| citation_txt |
Classification of Uq(sl₂)-Module Algebra Structures on the Quantum Plane / S. Duplij, S. Sinel’shchikov // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 4. — С. 406-430. — Бібліогр.: 13 назв. — англ. |
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Журнал математической физики, анализа, геометрии |
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