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

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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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          Author and article information

          Journal
          2015-05-19
          2015-11-24
          Article
          1505.05207
          4200aed2-867c-4cf8-8117-d98ff979c89e

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          53C30, 22E46
          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
          math.DG

          Geometry & Topology
          Geometry & Topology

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