Natural and Projectively Invariant Quantizations on Supermanifolds
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Natural and Projectively Invariant Quantizations on Supermanifolds
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| Creator |
Leuther, T.
Radoux, F. |
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| Description |
The existence of a natural and projectively invariant quantization in the sense of P. Lecomte [Progr. Theoret. Phys. Suppl. (2001), no. 144, 125-132] was proved by M. Bordemann [math.DG/0208171], using the framework of Thomas-Whitehead connections. We extend the problem to the context of supermanifolds and adapt M. Bordemann's method in order to solve it. The obtained quantization appears as the natural globalization of the pgl(n+1|m)-equivariant quantization on Rn|m constructed by P. Mathonet and F. Radoux in [arXiv:1003.3320]. Our quantization is also a prolongation to arbitrary degree symbols of the projectively invariant quantization constructed by J. George in [arXiv:0909.5419] for symbols of degree two.
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| Date |
2019-02-11T15:28:17Z
2019-02-11T15:28:17Z 2011 |
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| Type |
Article
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| Identifier |
Natural and Projectively Invariant Quantizations on Supermanifolds / T. Leuther, F. Radoux // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 16 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 53B05; 53B10; 53D50; 58A50 DOI:10.3842/SIGMA.2011.034 http://dspace.nbuv.gov.ua/handle/123456789/146803 |
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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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