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arXiv · 1106.3588

Some Operators Associated to Rarita-Schwinger Type Operators

Junxia Li·John Ryan
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Abstract

In this paper we study some operators associated to the Rarita-Schwinger operators. They arise from the difference between the Dirac operator and the Rarita-Schwinger operators. These operators are called remaining operators. They are based on the Dirac operator and projection operators $I-P_k.$ The fundamental solutions of these operators are harmonic polynomials, homogeneous of degree $k$. First we study the remaining operators and their representation theory in Euclidean space. Second, we can extend the remaining operators in Euclidean space to the sphere under the Cayley transformation.

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Junxia Li, John Ryan. 2011-06-17. Some Operators Associated to Rarita-Schwinger Type Operators. https://arxiv.org/abs/1106.3588

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