On the Sato-Segal-Wilson Grassmannian and the infinite Grassmannian of type I+,-

HKUST Electronic Theses

On the Sato-Segal-Wilson Grassmannian and the infinite Grassmannian of type I_+,-

by Lau Lap Ming Alvin

THESIS 2015

M.Phil. Mathematics

vii, 69 pages : illustrations ; 30 cm

Abstract
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.

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Details

Collection HKUST Electronic Theses Degree M.Phil. Department Mathematics Authors Lau, Alvin Lap Ming Subjects Symmetric spaces Mathematical models Grassmann manifolds Language English Call number Thesis MATH 2015 Lau DOI 10.14711/thesis-b1514929

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