We represent the real hyperbolic space H" as the rank one homogeneous space Spin (1, n)/ Spin (n) and the spinor bundle S of H as the homogeneous bundle Spin (1, n) x (",V, where V, is the spinor representation space of Spin (n). The representation theoretic decomposition of L2(H, S) combined with t
✦ LIBER ✦
Remarks on the spectrum of Dirac operators
✍ Scribed by C. Cancelier; P. Lévy-Bruhl; J. Nourrigat
- Publisher
- Springer Netherlands
- Year
- 1996
- Tongue
- English
- Weight
- 601 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0167-8019
No coin nor oath required. For personal study only.
✦ Synopsis
This paper concerns the number of eigenvalues of the Dirac operator in ] -1, 1[ and gives the number of linear indePendent eigenfunctions with total angular momentum k in ]/z, 1 [.
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