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The Spectrum of the Dirac Operator on the Hyperbolic Space

✍ Scribed by Ulrich Bunke

Publisher: John Wiley and Sons
Year: 1991
Tongue: English
Weight: 475 KB
Volume: 153
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19911530117

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✦ Synopsis

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 the PARTHASARATHY formula for the DIRAC operator D yields the spectral representation of D2.

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