Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras
We prove an explicit formula for a projection of singular vectors in the Verma module over a rank 2 Kac-Moody Lie algebra onto the universal enveloping algebra of the Heisenberg Lie algebra and of sl2 (Theorem 3). The formula is derived from a more general but less explicit formula due to Feigin, Fu...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2008 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2008
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149013 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras / D. Fuchs, C. Wilmarth // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 6 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-149013 |
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dspace |
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Fuchs, D. Wilmarth, C. 2019-02-19T12:57:31Z 2019-02-19T12:57:31Z 2008 Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras / D. Fuchs, C. Wilmarth // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 6 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 17B67 https://nasplib.isofts.kiev.ua/handle/123456789/149013 We prove an explicit formula for a projection of singular vectors in the Verma module over a rank 2 Kac-Moody Lie algebra onto the universal enveloping algebra of the Heisenberg Lie algebra and of sl2 (Theorem 3). The formula is derived from a more general but less explicit formula due to Feigin, Fuchs and Malikov [Funct. Anal. Appl. 20 (1986), no. 2, 103–113]. In the simpler case of A11 the formula was obtained in [Fuchs D., Funct. Anal. Appl. 23 (1989), no. 2, 154–156]. This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras |
| spellingShingle |
Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras Fuchs, D. Wilmarth, C. |
| title_short |
Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras |
| title_full |
Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras |
| title_fullStr |
Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras |
| title_full_unstemmed |
Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras |
| title_sort |
projections of singular vectors of verma modules over rank 2 kac-moody lie algebras |
| author |
Fuchs, D. Wilmarth, C. |
| author_facet |
Fuchs, D. Wilmarth, C. |
| publishDate |
2008 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We prove an explicit formula for a projection of singular vectors in the Verma module over a rank 2 Kac-Moody Lie algebra onto the universal enveloping algebra of the Heisenberg Lie algebra and of sl2 (Theorem 3). The formula is derived from a more general but less explicit formula due to Feigin, Fuchs and Malikov [Funct. Anal. Appl. 20 (1986), no. 2, 103–113]. In the simpler case of A11 the formula was obtained in [Fuchs D., Funct. Anal. Appl. 23 (1989), no. 2, 154–156].
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149013 |
| citation_txt |
Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras / D. Fuchs, C. Wilmarth // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 6 назв. — англ. |
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AT fuchsd projectionsofsingularvectorsofvermamodulesoverrank2kacmoodyliealgebras AT wilmarthc projectionsofsingularvectorsofvermamodulesoverrank2kacmoodyliealgebras |
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2025-12-07T18:25:26Z |
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2025-12-07T18:25:26Z |
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1850874975402065920 |