Journal of Lie Theory

no. 1
A Product for Harmonic Spinors on Reductive Homogeneous Spaces
Journal of Lie Theory, Volume 18 (2008) no. 1, pp. 33-44
We define a product for harmonic spinors on reductive homogeneous spaces. We give also some examples where harmonic spinors with coefficients in a module are expressed as a linear combination of products of harmonic spinors with coefficients in two other modules. One such example involves discrete series representations.
DOI: 10.5802/jolt.480
Classification: 22E47, 22F30, 43A85
Keywords: Reductive Lie group, Enright-Varadarajan module, Zuckerman translation functor, homogeneous space, harmonic spinor 
@article{JOLT_2008_18_1_a2,
     author = {S. Mehdi and R. Parthasarathy},
     title = {A {Product} for {Harmonic} {Spinors} on {Reductive} {Homogeneous} {Spaces}},
     journal = {Journal of Lie Theory},
     pages = {33--44},
     year = {2008},
     volume = {18},
     number = {1},
     doi = {10.5802/jolt.480},
     zbl = {1145.22009},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.480/}
}
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S. Mehdi; R. Parthasarathy. A Product for Harmonic Spinors on Reductive Homogeneous Spaces. Journal of Lie Theory, Volume 18 (2008) no. 1, pp. 33-44. doi: 10.5802/jolt.480

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