Symplectic twistor operator and its solution space on
Archivum Mathematicum (2013)
- Volume: 049, Issue: 3, page 161-185
- ISSN: 0044-8753
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topDostálová, Marie, and Somberg, Petr. "Symplectic twistor operator and its solution space on ${\mathbb {R}}^2$." Archivum Mathematicum 049.3 (2013): 161-185. <http://eudml.org/doc/260662>.
@article{Dostálová2013,
abstract = {We introduce the symplectic twistor operator $T_s$ in symplectic spin geometry of real dimension two, as a symplectic analogue of the Dolbeault operator in complex spin geometry of complex dimension 1. Based on the techniques of the metaplectic Howe duality and algebraic Weyl algebra, we compute the space of its solutions on $\{\mathbb \{R\}\}^2$.},
author = {Dostálová, Marie, Somberg, Petr},
journal = {Archivum Mathematicum},
keywords = {symplectic spin geometry; metaplectic Howe duality; symplectic twistor operator; symplectic Dirac operator; symplectic spin geometry; metaplectic Howe duality; symplectic twistor operator; symplectic Dirac operator},
language = {eng},
number = {3},
pages = {161-185},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Symplectic twistor operator and its solution space on $\{\mathbb \{R\}\}^2$},
url = {http://eudml.org/doc/260662},
volume = {049},
year = {2013},
}
TY - JOUR
AU - Dostálová, Marie
AU - Somberg, Petr
TI - Symplectic twistor operator and its solution space on ${\mathbb {R}}^2$
JO - Archivum Mathematicum
PY - 2013
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 049
IS - 3
SP - 161
EP - 185
AB - We introduce the symplectic twistor operator $T_s$ in symplectic spin geometry of real dimension two, as a symplectic analogue of the Dolbeault operator in complex spin geometry of complex dimension 1. Based on the techniques of the metaplectic Howe duality and algebraic Weyl algebra, we compute the space of its solutions on ${\mathbb {R}}^2$.
LA - eng
KW - symplectic spin geometry; metaplectic Howe duality; symplectic twistor operator; symplectic Dirac operator; symplectic spin geometry; metaplectic Howe duality; symplectic twistor operator; symplectic Dirac operator
UR - http://eudml.org/doc/260662
ER -
References
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