Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

Schur Q-functions and cohomology of isotropic Grassmannians

Tadeusz Józefiaka1

a1 Institute of Mathematics, Polish Academy of Sciences, Chopina 12, 87-100 Toruń, Poland

Abstract

We prove that for homogeneous spaces of isotropic Grassmannians the Borel map sends the basis of a truncated algebra of Schur Q-functions consisting of Q-functions or P-functions (depending on a case) onto the basis dual to the basis of Schubert cycles.

(Received March 01 1990)