| Title:
|
Projectively equivariant quantization and symbol on supercircle $S^{1|3}$ (English) |
| Author:
|
Bichr, Taher |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
71 |
| Issue:
|
4 |
| Year:
|
2021 |
| Pages:
|
1235-1248 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\mathcal {D}_{\lambda ,\mu } $ be the space of linear differential operators on weighted densities from $\mathcal {F}_{\lambda }$ to $\mathcal {F}_{\mu }$ as module over the orthosymplectic Lie superalgebra $\mathfrak {osp}(3|2)$, where $\mathcal {F}_{\lambda } $, $ł\in \nobreak \mathbb {C}$ is the space of tensor densities of degree $\lambda $ on the supercircle $S^{1|3}$. We prove the existence and uniqueness of projectively equivariant quantization map from the space of symbols to the space of differential operators. An explicite expression of this map is also given.\looseness -1 (English) |
| Keyword:
|
differential operator |
| Keyword:
|
density |
| Keyword:
|
equivariant quantization and orthosymplectic algebra |
| MSC:
|
17B10 |
| MSC:
|
17B66 |
| MSC:
|
53D10 |
| idZBL:
|
Zbl 07442489 |
| idMR:
|
MR4339126 |
| DOI:
|
10.21136/CMJ.2021.0149-19 |
| . |
| Date available:
|
2021-11-08T16:08:29Z |
| Last updated:
|
2024-01-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149253 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
