The point spectrum of the Dirac operator on noncompact symmetric spaces |
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| Authors: | S. Goette U. Semmelmann |
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| Affiliation: | Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany ; Mathematisches Institut, Universität München, Theresienstr.~39, D-80333 München, Germany |
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| Abstract: | In this note, we consider the Dirac operator  on a Riemannian symmetric space  of noncompact type. Using representation theory, we show that  has point spectrum iff the  -genus of its compact dual does not vanish. In this case, if  is irreducible, then  with  odd, and  . |
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| Keywords: | |
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