  By explicitly describing a cellular decomposition we determine the Borel
invariant cycles that generate the Chow groups of the quotient of a reductive
group by a Levi subgroup. For illustrations we consider the variety of
polarizations $\mbf{SL}_n / \mbf{S}(\mbf{GL}_p\times \mbf{GL}_q)$, and we
introduce the notion of a sect for describing its cellular decomposition. In
particular, for $p=q$, we show that the Bruhat order on the sect corresponding
to the dense cell is isomorphic, as a poset, to the rook monoid with the
Bruhat-Chevalley-Renner order.
