The classification of $SU(2{)}^2$ biquotients of rank $3$ Lie groups

Abstract

We classify all compact simply connected biquotients of the form $G//SU(2{)}^2$ for $G=SU(4),SO(7),Spin(7)$, or $G={\mathbf{G}}_2\times SU(2)$. In particular, we show there are precisely $2$ inhomogeneous reduced biquotients in the first and last case, and $10$ in the middle cases.

The approach in Section 2.3 has been changed significantly at the suggestion of a referee, but the final conclusions are unaltered. To appear in Topology and its Applications

References in corpus (1)

• The classification and curvature of biquotients of the form $Sp(3)//Sp(1{)}^2$