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.
What is $D_{5}$
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lie-groups
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0It 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