On the Sato-Segal-Wilson Grassmannian and the infinite Grassmannian of type I+,-
by Lau Lap Ming Alvin
vii, 69 pages : illustrations ; 30 cm
In this thesis, we present the Sato-Segal-Wilson Grassmannian and its dual, the inﬁnite Grassmannian of type I+,−. We provide detailed proofs that they are inﬁnite dimensional complex manifolds and Hermitian symmetric spaces. By doing so, we tie up some loose ends in the existing literature.
We also classify the orbits of the action of the group U+,-res(H) on the Sato-Segal-Wilson Grassmannian.
Permanent URL for this record: https://lbezone.hkust.edu.hk/bib/b1514929