Abstract
We construct the eigenspinors of the Dirac Operator $D_3$ on $S^3$ from a representation theoretical point of view and give a representation of $Spin(4)$ on them explicitly. These eigenspinors are extended to zero mode spinors of the Dirac operator $D_{4}^{\pm}$ on upper or lower hemisphere of $S^4$.
Citation
Yasushi HOMMA. "A Representation of $Spin(4)$ on the Eigenspinors of the Dirac Operator on $S^3$." Tokyo J. Math. 23 (2) 453 - 472, December 2000. https://doi.org/10.3836/tjm/1255958682
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