Incidence Modules for Symplectic Spaces in Characteristic Two
Combinatorics
2008-01-30 v1 Representation Theory
Abstract
We study the permutation action of a finite symplectic group of characteristic 2 on the set of subspaces of its standard module which are either totally isotropic or else complementary to totally isotropic subspaces with respect to the alternating form. A general formula is obtained for the 2-rank of the incidence matrix for the inclusion of one-dimensional subspaces in the distinguished subspaces of a fixed dimension.
Cite
@article{arxiv.0801.4392,
title = {Incidence Modules for Symplectic Spaces in Characteristic Two},
author = {David B. Chandler and Peter Sin and Qing Xiang},
journal= {arXiv preprint arXiv:0801.4392},
year = {2008}
}