Full automorphism groups of association schemes based on isotropic subspaces

Abstract

The set of all subspaces of a given dimension in a finite classical polar space has a structure of a symmetric association scheme. If the dimension is zero, this is the scheme of the collinearity graph of the space; If the dimension is maximum, it is the dual polar scheme. In this note, we determine the full automorphism group of this scheme.

arXiv commentThis paper has been withdrawn by the author because the result of this paper has been added in another paper