nLab
affine Grassmannian

According to wikipedia,

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

The affine Grassmannian is ind-representable. Affine Grassmannian of SL nSL_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.