Characterization of apartments in polar Grassmannians
Combinatorics
2011-09-13 v1
Abstract
Buildings of types and are defined by rank polar spaces. The associated building Grassmannians are polar and half-spin Grassmannians. Apartments in dual polar spaces and half-spin Grassmannians were characterized in \cite{CKS}. We characterize apartments in all polar Grassmannians consisting of non-maximal singular subspaces. This characterization is a partial case of more general results concerning embeddings of polar Johnson graphs in polar Grassmann graphs.
Keywords
Cite
@article{arxiv.1109.2555,
title = {Characterization of apartments in polar Grassmannians},
author = {Mark Pankov},
journal= {arXiv preprint arXiv:1109.2555},
year = {2011}
}