# nLab affine Grassmannian

According to wikipedia,

the affine Grassmannian of an algebraic group $G$ over a field $k$ is an ind-scheme which can be thought of as a flag variety for the loop group $G(k((t)))$

The affine Grassmannian is ind-representable. Affine Grassmannian of $SL_n$ admits embedding into Sato Grassmanian.

## References

• Evgeny Feigin, Michael Finkelberg, Markus Reineke, Degenerate affine Grassmannians and loop quivers, http://arxiv.org/abs/1410.0777

• Xinwen Zhu, An introduction to affine Grassmannians and the geometric Satake equivalence, arXiv:1603.05593.

• Bhargav Bhatt, Peter Scholze, Projectivity of the Witt vector affine Grassmannian, arXiv:1507.06490

• Alexander Schmitt, Affine flag manifolds and principal bundles, Trends in Mathematics, Springer 2010

Last revised on October 23, 2019 at 11:24:53. See the history of this page for a list of all contributions to it.