Penrose transform and monogenic sections
Archivum Mathematicum (2012)
- Volume: 048, Issue: 5, page 399-410
- ISSN: 0044-8753
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topSalač, Tomáš. "Penrose transform and monogenic sections." Archivum Mathematicum 048.5 (2012): 399-410. <http://eudml.org/doc/251355>.
@article{Salač2012,
abstract = {The Penrose transform gives an isomorphism between the kernel of the $2$-Dirac operator over an affine subset and the third sheaf cohomology group on the twistor space. In the paper we give an integral formula which realizes the isomorphism and decompose the kernel as a module of the Levi factor of the parabolic subgroup. This gives a new insight into the structure of the kernel of the operator.},
author = {Salač, Tomáš},
journal = {Archivum Mathematicum},
keywords = {Penrose transform; monogenic spinors; Penrose transform; monogenic spinors},
language = {eng},
number = {5},
pages = {399-410},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Penrose transform and monogenic sections},
url = {http://eudml.org/doc/251355},
volume = {048},
year = {2012},
}
TY - JOUR
AU - Salač, Tomáš
TI - Penrose transform and monogenic sections
JO - Archivum Mathematicum
PY - 2012
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 048
IS - 5
SP - 399
EP - 410
AB - The Penrose transform gives an isomorphism between the kernel of the $2$-Dirac operator over an affine subset and the third sheaf cohomology group on the twistor space. In the paper we give an integral formula which realizes the isomorphism and decompose the kernel as a module of the Levi factor of the parabolic subgroup. This gives a new insight into the structure of the kernel of the operator.
LA - eng
KW - Penrose transform; monogenic spinors; Penrose transform; monogenic spinors
UR - http://eudml.org/doc/251355
ER -
References
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- Salač, T., The generalized Dolbeault complexes in Clifford analysis, Ph.D. thesis, MFF UK UUK, Prague, 2012. (2012)
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