The mod-2 cohomology groups of low-dimensional unordered flag manifolds and Auerbach bases

Lorenzo Guerra, Santanil Jana, Arun Maiti

Unordered flag manifolds are the manifolds of unordered $n$-tuple of mutually orthogonal lines in ${\mathbb{R}}^n$. In this paper, we develop some basic tools to compute the mod-$2$…