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/