The point spectrum of the Dirac operator on noncompact symmetric spaces
| dc.creator | Goette, S. | |
| dc.creator | Semmelmann, U. | |
| dc.date | 1999-03-30 | |
| dc.date.accessioned | 2026-07-07T10:02:57Z | |
| dc.date.available | 2026-07-07T10:02:57Z | |
| dc.description | In this note, we consider the Dirac operator $D$ on a Riemannian symmetric space $M$ of noncompact type. Using representation theory we show that $D$ has point spectrum iff the $\hat A$-genus of its compact dual does not vanish. In this case, if $M$ is irreducible then $M = U(p,q)/U(p) \times U(q)$ with $p+q$ odd, and $Spec_p(D) = \{0\}$. | |
| dc.description | amstex, 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/9903177 | |
| dc.identifier | http://arxiv.org/abs/math/9903177 | |
| dc.identifier | Proc. Amer. Math. Soc. 130 (2002), 915-923 | |
| dc.identifier | doi:10.1090/S0002-9939-01-06158-5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169156 | |
| dc.subject | Differential Geometry | |
| dc.subject | Spectral Theory | |
| dc.subject | 53C35 (Primary) 58G25 (Secondary) | |
| dc.title | The point spectrum of the Dirac operator on noncompact symmetric spaces | |
| dc.type | text |