\def\bbN{{\mathbb N}}
\def\bbQ{{\mathbb Q}}
\def\bbR{{\mathbb R}}
\def\bbZ{{\mathbb Z}}
\def\calA{{\mathcal A}}
\def\calB{{\mathcal B}}
\def\calAcf{{\mathcal A}^\text{\it cf}}
%\def\calAar{{\vec{\mathcal A}}}
\def\calC{{\mathcal C}}
\def\calD{{\mathcal D}}
\def\calF{{\mathcal F}}
\def\calG{{\mathcal G}}
\def\calI{{\mathcal I}}
\def\calK{{\mathcal K}}
\def\calL{{\mathcal L}}
\def\calO{{\mathcal O}}
\def\calP{{\mathcal P}}
\def\calR{{\mathcal R}}
\def\calS{{\mathcal S}}
\def\calT{{\mathcal T}}
\def\calU{{\mathcal U}}
\def\fraka{{\mathfrak a}}
\def\frakg{{\mathfrak g}}
\def\tilE{{\tilde{E}}}
\def\ol{\overline}

\def\ad{\operatorname{ad}}
\def\Aut{\operatorname{Aut}}
\def\Autop{\operatorname{Aut}^\text{op}}
\def\fil{\operatorname{fil}\,}
\def\gr{\operatorname{gr}\,}
\def\IAM{\mathit{IAM}}
%\def\IAM{\operatorname{IAM}}
\def\grad{{\operatorname{grad}\,}}
\def\grads{{\operatorname{grad}}}
\newcommand{\Ass}{\operatorname{Ass}}
\def\divop{\operatorname{div}}
\def\CA{\operatorname{CA}}

\def\attr{\operatorname{\mathfrak{tr}}}
\def\lie{\operatorname{\mathfrak{lie}}}
\def\der{\operatorname{\mathfrak{der}}}
\def\sder{\operatorname{\mathfrak{sder}}}
\def\tder{\operatorname{\mathfrak{tder}}}
\def\TAut{\operatorname{TAut}}
\def\SAut{\operatorname{SAut}}

\def\FA{{\mathit F\!A}}
\def\uB{{\mathit u\!B}}
\def\PuB{{\mathit P\!u\!B}}
\def\vB{{\mathit v\!B}}
\def\vD{{\mathit v\!D}}
\def\vT{{\mathit v\!T}}
\def\PvB{{\mathit P\!v\!B}}
\def\wB{{\mathit w\!B}}
\def\swB{{\mathit s\!w\!B}}
\def\uT{{\mathit u\!T}}
\def\wT{{\mathit w\!T}}
\def\wTF{{\mathit w\!T\!F}}
\def\wTFo{{\mathit w\!T\!F^o}}
\def\sKTG{{\mathit s\!K\!T\!G}}
\def\PwB{{\mathit P\!w\!B}}
\def\sl{{\mathit sl}}

\def\aft{{\overrightarrow{4T}}}
\def\aAS{{\overrightarrow{AS}}}
\def\aSTU{{\overrightarrow{STU}}}
\def\aIHX{{\overrightarrow{IHX}}}
\def\Rs{{R$1^{\!s}$}}

\def\up{{\uparrow}}

\def\posvertex{\raisebox{-1mm}{\input{figs/PlusVertex.pstex_t}}}

\def\negvertex{\raisebox{-1mm}{\input{figs/MinusVertex.pstex_t}}}

\def\mathsize#1#2{{\begin{array}{c}\text{#1$\!#2\!$}\end{array}}}
\def\pstex#1{\begin{array}{c}
  \input figs/#1.pstex_t
  \if\draft y
    \smash{\makebox[0in]{\color{labelkey}{\tt figs/#1}}}
  \fi
\end{array}}

\def\draftcut{\if\draft y \newpage \fi}

\font\bfmarginfont=cmssbx10 scaled 800

\def\inverted#1{{\rotatebox[origin=c]{180}{#1}}}

\def\glos#1{\setlength{\fboxsep}{0pt}\colorbox{yellow}{$#1$}}
\def\glost#1{\setlength{\fboxsep}{0pt}\colorbox{yellow}{#1}}
