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We demonstrate the optical orientation and alignment of excitons in atwo-dimensional layer of CsPbI$_3$ perovskite nanocrystals prepared bycolloidal synthesis and measure the anisotropic exchange splitting of excitonlevels in the nanocrystals. From the experimental data at low temperature (2K),we obtain the average value of anisotropic splitting of bright exciton statesof the order of 120{\mu}eV. Our calculations demonstrate that there is asignificant contribution to the splitting due to the nanocrystal shapeanisotropy for all inorganic perovskite nanocrystrals.

Optical orientation and alignment of excitons in ensembles of inorganic perovskite nanocrystals