Harmonic spinors on reductive homogeneous spaces

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Abstract

An integral intertwining operator is given from certain principal series representations into spaces of harmonic spinors for Kostant’s cubic Dirac operator. This provides an integral representation for harmonic spinors on a large family of reductive homogeneous spaces.

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Mehdi, S., & Zierau, R. (2014). Harmonic spinors on reductive homogeneous spaces. Developments in Mathematics, 37, 161–181. https://doi.org/10.1007/978-3-319-09934-7_6

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