1
$\begingroup$

I have recently encountered a Lie group in a paper called $D_{5}$ as a subgroup of $E_{6}$. I have tried googling with mixed results. Is it just $\operatorname{SO}_{10}(\mathbb C)$?. Is it $\operatorname{Spin}(10)$? I am looking for geometric information and I am approaching this material from the realm of homogeneous spaces and symmetric spaces, if it makes a difference.

  • 0
    It may help if you give some context. I don't think there is a standard convention of whether a group called $D_5$ refers to $Spin(10), SO(10)$ or $PSO(10)$. My guess would be $Spin(10)$ since its simply connected (and so singled out).2012-04-04

0 Answers 0