八元数几何与保角变换
Octonionic geometry and conformal transformations
摘要：
我们描述时空使用分裂八元数在实数和使用他们的组的自同构，非紧形式的嘉当的例外李群G2，作为主要的几何群的模型。研究了8维八元数空间的G2-旋转与4维Minkowski时空中的共形变换之间的联系。它表明，在这些分析中所需的维数常数自然给观测值的宇宙学常数。
英文摘要：
We describe space-time using split octonions over the reals and use their group of automorphisms, the non-compact form of Cartan's exceptional Lie group G2, as the main geometrical group of the model. Connections of the G2-rotations of octonionic 8D space with the conformal transformations in 4D Minkowski space-time are studied. It is shown that the dimensional constant needed in these analysis naturally gives the observed value of the cosmological constant.
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