Twistor operators on conformally flat spaces

Somberg, Petr

  • Proceedings of the 20th Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page 179-197

Abstract

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Summary: We describe explicitly the kernels of higher spin twistor operators on standard even dimensional Euclidean space ℛ 2 l , standard even dimensional sphere S 2 l , and standard even dimensional hyperbolic space ℋ 2 l , 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 ℛ 2 l , S 2 l , ℋ 2 l .

How to cite

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Somberg, Petr. "Twistor operators on conformally flat spaces." Proceedings of the 20th Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 2001. 179-197. <http://eudml.org/doc/220603>.

@inProceedings{Somberg2001,
abstract = {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 $\mathcal \{R\}^\{2l\},S^\{2l\},\mathcal \{H\}^\{2l\}$.},
author = {Somberg, Petr},
booktitle = {Proceedings of the 20th Winter School "Geometry and Physics"},
keywords = {Winter school; Proceedings; Geometry; Physics; Srní(Czech Republic)},
location = {Palermo},
pages = {179-197},
publisher = {Circolo Matematico di Palermo},
title = {Twistor operators on conformally flat spaces},
url = {http://eudml.org/doc/220603},
year = {2001},
}

TY - CLSWK
AU - Somberg, Petr
TI - Twistor operators on conformally flat spaces
T2 - Proceedings of the 20th Winter School "Geometry and Physics"
PY - 2001
CY - Palermo
PB - Circolo Matematico di Palermo
SP - 179
EP - 197
AB - 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 $\mathcal {R}^{2l},S^{2l},\mathcal {H}^{2l}$.
KW - Winter school; Proceedings; Geometry; Physics; Srní(Czech Republic)
UR - http://eudml.org/doc/220603
ER -

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