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2014 | OriginalPaper | Buchkapitel

Harmonic Spinors on Reductive Homogeneous Spaces

verfasst von : Salah Mehdi, Roger Zierau

Erschienen in: Developments and Retrospectives in Lie Theory

Verlag: Springer International Publishing

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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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Fußnoten
1
The factor of 2 in this formula does not appear in [6]. This is because we are taking \(xy + yx =\langle x\,,y\rangle\) in the definition of the Clifford algebra, while \(xy + yx = 2\langle x\,,y\rangle\) is used in [6].
 
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Metadaten
Titel
Harmonic Spinors on Reductive Homogeneous Spaces
verfasst von
Salah Mehdi
Roger Zierau
Copyright-Jahr
2014
DOI
https://doi.org/10.1007/978-3-319-09934-7_6