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arXiv · 1505.05207

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

Jason DeVito·Robert L. DeYeso
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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.

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Jason DeVito, Robert L. DeYeso. 2015-11-25. The classification of $SU(2)^2$ biquotients of rank $3$ Lie groups. https://doi.org/10.1016/j.topol.2015.11.007

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