Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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dc.contributor.author	Fuchs, D.
dc.contributor.author	Wilmarth, C.
dc.date.accessioned	2019-02-19T12:57:31Z
dc.date.available	2019-02-19T12:57:31Z
dc.date.issued	2008
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 17B67
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149013
dc.description.abstract	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].	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA