k-Dirac Operator and Parabolic Geometries |
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Authors: | Tomáš Salač |
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Institution: | 1. Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 18675, Prague, Czech Republic
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Abstract: | In this paper we construct particular differential operators which are invariant with respect to the canonical action of the principal group of a particular type of parabolic geometry. These operators form sequences which are related to the minimal resolutions of the $k$ -Dirac operator studied in Clifford analysis. |
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