# 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 . Category: math . 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 . 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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