An explicit basis of the space of global vector fields on the Sato Grassmannian is computed and the vanishing of the first cohomology group of the sheaf of derivations is shown.
@article{urn:eudml:doc:41831,
title = {Vector fields on the Sato Grassmannian.},
journal = {Collectanea Mathematica},
volume = {56},
year = {2005},
pages = {265-274},
zbl = {1115.14042},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41831}
}
Plaza Martín, Francisco J. Vector fields on the Sato Grassmannian.. Collectanea Mathematica, Tome 56 (2005) pp. 265-274. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41831/