Lifting orthogonal representations to spin groups and local root numbers |
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| Authors: | Dipendra Prasad Dinakar Ramakrishnan |
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| Institution: | (1) Mehta Research Institute, 211 002 Allahabad, India;(2) Tata Institute of Fundamental Research, 400 005 Bombay, India;(3) California Institute of Technology, 91125 Pasadena, CA, USA |
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| Abstract: | Representations ofD
k
*
k
* for a quaternion division algebraD
k over a local fieldk are orthogonal representations. In this note we investigate when these orthogonal representations can be lifted to the corresponding
spin group. The results are expressed in terms of local root number of the representation. |
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| Keywords: | Orthogonal representations spin groups local root numbers |
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