Article
| Title: | Twistor operators on conformally flat spaces (English) |
| Author: | Somberg, Petr |
| Language: | English |
| Journal: | Proceedings of the 20th Winter School "Geometry and Physics" |
| Volume: | |
| Issue: | 2000 |
| Year: | |
| Pages: | 179-197 |
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| Category: | math |
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| Summary: | Summary: We describe explicitly the kernels of higher spin twistor operators on standard even dimensional Euclidean space $\mathcal{R}^{2l}$, standard even dimensional sphere $S^{2l}$, and standard even dimensional hyperbolic space $\mathcal{H}^{2l}$, using realizations of invariant differential operators inside spinor valued differential forms. The kernels are finite dimensional vector spaces (of the same cardinality) generated by spinor valued polynomials on $\mathcal{R}^{2l},S^{2l},\mathcal{H}^{2l}$. (English) |
| MSC: | 22E45 |
| MSC: | 53A30 |
| MSC: | 53C28 |
| idZBL: | Zbl 1056.53034 |
| idMR: | MR1826691 |
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| Date available: | 2009-07-13T21:45:55Z |
| Last updated: | 2012-11-07 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/701678 |
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Files
| Files | Size | Format | View |
|---|---|---|---|
| WSGP_20-2000-1_15.pdf | 1.988Mb | application/pdf |
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