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On SU(1,D)/[U(1,D),U(1,D)] for a quaternion division algebra D

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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.

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  1. Stat-Math Unit, Indian Statistical Institute, 8th Mile Mysore Road, Bangalore, 560 059, India

    B. Sury

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  1. B. Sury
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Correspondence to B. Sury.

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Received: 11 May 2007, Revised: 15 December 2007

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Sury, B. On SU(1,D)/[U(1,D),U(1,D)] for a quaternion division algebra D. Arch. Math. 90, 493–500 (2008). https://doi.org/10.1007/s00013-008-2438-x

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  • DOI: https://doi.org/10.1007/s00013-008-2438-x

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