On SU(1,D)/[U(1,D),U(1,D)] for a quaternion division algebra D |
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| Authors: | B. Sury |
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| Affiliation: | (1) Stat-Math Unit, Indian Statistical Institute, 8th Mile Mysore Road, Bangalore, 560 059, India |
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| Abstract: | Let D be a quaternion division algebra with an involution of the second kind. We show that the quotient group SU(1,D)/[U(1,D),U(1,D)] is nontrivial in general. For global fields, we completely determine this group. Received: 11 May 2007, Revised: 15 December 2007 |
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| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000). Primary 11R52 |
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