There is a Lattice model for affine Grassmannians of type A, due to Lusztig. It describes affine Grassmannians of type A as the moduli space of certain subspaces in an infinite-dimensional $\mathbb{C}-$vector space. 


Is there any similar pictorial models for affine Grassmannian of other types? Any references? 



Lattice model for Affine Grassmannians of non type A
For any $ G$, you can always embed the affine Grassmannian $Gr\_G$ into the space of $\mathbb C [[t]]$-lattices in $ \mathfrak{g} \otimes \mathbb C ((t))$. I'm pretty sure that this appears in Lusztig's paper.


Alternatively, for any $ G $, there is an embedding $ Gr\_G \rightarrow \prod\_{\lambda} \{ \text{lattices in } V(\lambda) \otimes \mathbb C ((t)) \}$. The image of
this embedding will be those sequences of lattices which are compatible with morphisms $ V(\lambda) \otimes V(\mu) \rightarrow V(\nu) $. See section 10.3 in [Finkelberg-Mirkovic](http://de.arxiv.org/abs/alg-geom/9707010) for more details.


Unfortunately, neither of these embeddings are as helpful as the one for $ GL\_n$.


