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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2008 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2008
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| Online Zugang: | 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 |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862720380400041984 |
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| author | Fuchs, D. Wilmarth, C. |
| author_facet | Fuchs, D. Wilmarth, C. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-12-07T18:25:26Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-149013 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:25:26Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras Fuchs, D. Wilmarth, C. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149013 |
| work_keys_str_mv | AT fuchsd projectionsofsingularvectorsofvermamodulesoverrank2kacmoodyliealgebras AT wilmarthc projectionsofsingularvectorsofvermamodulesoverrank2kacmoodyliealgebras |