Examples of automorphism groups of ind-varieties of generalized flags. (English) Zbl 1439.14136

Penkov, Ivan

J. Geom. Symmetry Phys. 50, 71-77 (2018).

Summary: We compute the automorphism groups of finite and cofinite ind-grassmannians, as well as of the ind-variety of the maximal flags indexed by \({\mathbb Z}_{>0}\). We pay special attention to differences with the case of ordinary flag varieties.

MSC:

14L30	Group actions on varieties or schemes (quotients)
14M15	Grassmannians, Schubert varieties, flag manifolds
14M17	Homogeneous spaces and generalizations

Keywords:

automorphism group; flag ind-variety; ind-Grassmannian