2019 | OriginalPaper | Chapter
On the Dirac Type Operators on Symmetric Tensors
Author : Bogdan Balcerzak
Published in: Geometric Methods in Physics XXXVI
Publisher: Springer International Publishing
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In the paper we define the Dirac type operators on anchored vector bundles given by a skew-symmetric 2-tensor. The Weyl module structure is defined in the case of the symmetric bundle. The decomposition of the symmetric Dirac operator into the sum of the symmetric covariant derivative and symmetric coderivative is presented.