Harmonic spinors on semisimple symmetric spaces |
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| Authors: | S Mehdi |
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| Institution: | Mathematics Department, Oklahoma State University, Stillwater, OK 74078, USA |
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| Abstract: | Let G/H be a semisimple symmetric space. We consider a Dirac operator D on G/H twisted by a finite dimensional H-representation. We give an explicit integral formula for certain solutions of the equation D=0. In particular, some quotients of standard principal series representations are seen to occur in the kernel of D. |
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| Keywords: | Dirac operator Symmetric space Semisimple Lie group Intertwining operator Principal series representation |
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