Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras
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| Creator |
Fuchs, D.
Wilmarth, C. |
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| 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].
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| Date |
2019-02-19T12:57:31Z
2019-02-19T12:57:31Z 2008 |
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| Type |
Article
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| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/149013 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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