Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1)
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1)
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| Creator |
Babichenko, A.
Creutzig, T. |
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| Description |
Takiff superalgebras are a family of non semi-simple Lie superalgebras that are believed to give rise to a rich structure of indecomposable representations of associated conformal field theories. We consider the Takiff superalgebra of gl(1|1), especially we perform harmonic analysis for the corresponding supergroup. We find that every simple module appears as submodule of an infinite-dimensional indecomposable but reducible module. We lift our results to two free field realizations for the corresponding conformal field theory and construct some modules.
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| Date |
2019-02-13T17:22:42Z
2019-02-13T17:22:42Z 2015 |
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| Type |
Article
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| Identifier |
Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1) / A. Babichenko, T. Creutzig // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 50 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 17B67; 17B81; 22E46; 81R10; 81T40 DOI:10.3842/SIGMA.2015.067 http://dspace.nbuv.gov.ua/handle/123456789/147138 |
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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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