The unique coclique extension property for apartments of buildings

Abstract

We show that the Kneser graph of objects of a fixed type in a building of spherical type has the unique coclique extension property when the corresponding representation has minuscule weight and also when the diagram is simply laced and the representation is adjoint.

References in corpus (2)

• Maximal co-cliques in the Kneser graph on plane-solid flags in $PG(6,q)$
• Globally Irreducible Weyl Modules