On Deformations and Contractions of Lie Algebras
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Deformations and Contractions of Lie Algebras
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| Creator |
Fialowski, A.
Marc de Montigny |
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| Description |
In this contributed presentation, we discuss and compare the mutually opposite procedures of deformations and contractions of Lie algebras. We suggest that with appropriate combinations of both procedures one may construct new Lie algebras. We first discuss low-dimensional Lie algebras and illustrate thereby that whereas for every contraction there exists a reverse deformation, the converse is not true in general. Also we note that some Lie algebras belonging to parameterized families are singled out by the irreversibility of deformations and contractions. After reminding that global deformations of the Witt, Virasoro, and affine Kac-Moody algebras allow one to retrieve Lie algebras of Krichever-Novikov type, we contract the latter to find new infinite dimensional Lie algebras.
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| Date |
2019-02-07T20:21:06Z
2019-02-07T20:21:06Z 2006 |
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| Type |
Article
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| Identifier |
On Deformations and Contractions of Lie Algebras / A. Fialowski, Marc de Montigny // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 14 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 17B66; 17B67; 17B65; 17B56; 17B68; 14D15; 81T40 http://dspace.nbuv.gov.ua/handle/123456789/146177 |
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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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