Title: On monomial linearisation and supercharacters of pattern subgroups,
Abstract: Column closed pattern subgroups $U$ of the finite upper unitriangular groups
$U_n(q)$ are defined as sets of matrices in $U_n(q)$ having zeros in a
prescribed set of columns besides the diagonal ones. We explain Jedlitschky's
construction of monomial linearisation and apply this to $C U$ yielding a
generalisation of Yan's coadjoint cluster representations. Then we give a
complete classification of the resulting supercharacters, by describing the
resulting orbits and determining the Hom-spaces between orbit modules.