\newcommand\uuA{A} %\underline{\underline{\displaystyle A}}}
\newcommand\uuB{B} %\underline{\underline{\displaystyle B}}}
\newcommand\uuC{C} %\underline{\underline{\displaystyle C}}}
\newcommand\uuD{D} %\underline{\underline{\displaystyle D}}}
\newcommand\uuE{\underline{\underline{\displaystyle E}}}
\newcommand\uuH{\underline{\underline{\displaystyle H}}}
\newcommand\uuI{\underline{\underline{\displaystyle I}}}
\newcommand\uuM{\underline{\underline{\displaystyle M}}}
\newcommand\uuO{\underline{\underline{\displaystyle O}}}
\newcommand\uuP{\underline{\underline{\displaystyle P}}}
\newcommand\uuQ{\underline{\underline{\displaystyle Q}}}
\newcommand\uuS{\underline{\underline{\displaystyle S}}}
\newcommand\uuT{\underline{\underline{\displaystyle T}}}
\newcommand\uuX{\underline{\underline{\displaystyle X}}}
\newcommand\uuY{\underline{\underline{\displaystyle Y}}}
\newcommand\br{\mbox{\bf R}}
\newcommand\bn{\mbox{\bf N}}
\newcommand\bm{\mbox{\bf M}}
\newcommand\bz{\mbox{\bf Z}}
\newcommand\bq{\mbox{\bf Q}}
\newcommand\ua{\underline{a}}
\newcommand\ub{\underline{b}}
\newcommand\uc{\underline{c}}
\newcommand\ue{\underline{e}}
\newcommand\uo{\underline{o}}
\newcommand\uq{\underline{q}}
\newcommand\us{\underline{s}}
\newcommand\ux{\underline{x}}
\newcommand\uy{\underline{y}}
\newcommand\uz{\underline{z}}
\newcommand\ta{\underline{\tilde a}}
\newcommand\tb{\underline{\tilde b}}
%\newcommand{\A}{\displaystyle}
%\newcommand\uua{\stackrel{A}{=}}
\newcommand\GL{\mbox{\rm GL}}
\newcommand\SL{\mbox{\rm SL}}
%\newcommand\unv{\underline{v}}
\newcommand\Id{\mbox{\rm Id}}
\newcommand\vhv{\widehat{V}}
\newcommand\Ker{\mbox{\rm Ker}}
\newcommand\hv{\widehat{v}}
%\newcommand\id{\mbox{\rm id}}
\newcommand\rg{\mbox{\rm rg}}
\newcommand\ts{\widetilde{\sigma}}
\newcommand\tu{\widetilde{u}}
\newcommand\PSL{\mbox{\rm PSL}}
\newcommand\PGL{\mbox{\rm PGL}}
\newcommand\Pol{\mbox{\rm Pol }}
\newcommand\uv{\underline{v}}
%\newcommand\uu{\underline{u}}