The classification of SU(2)(2) biquotients of rank 3 Lie groups

摘要

We classify all compact simply connected biquotients of the form G parallel to SU(2)(2) for G = SU (4), SO(7), Spin(7), or G = G(2) x SU(2). In particular, we show there are precisely 2 inhomogeneous reduced biquotients in the first and last case, and 10 in the middle cases. (C) 2015 Elsevier B.V. All rights reserved.