# LaTeX2HTML 99.1 release (March 30, 1999)
# Associate images original text with physical files.


$key = q/;mathcal{A}_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img12.gif"
 ALT="$ \;\mathcal{A}_0 $">|; 

$key = q/,mathcal{A};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img4.gif"
 ALT="$ \,
\mathcal{A}$">|; 

$key = q/:r(mathcal{Q});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img6.gif"
 ALT="$ \: r(\mathcal{Q})$">|; 

$key = q/mathcal{Q};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img9.gif"
 ALT="$ \mathcal{Q} $">|; 

$key = q/:mathcal{A}_0,;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img8.gif"
 ALT="$ \: \mathcal{A}_0 \, $">|; 

$key = q/,mathcal{A}_0;;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img15.gif"
 ALT="$ \,\mathcal{A}_0 \;$">|; 

$key = q/,mathcal{B}_0:;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img7.gif"
 ALT="$ \,\mathcal{B}_0 \:$">|; 

$key = q/;mathcal{B};;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img14.gif"
 ALT="$ \;\mathcal{B} \;$">|; 

$key = q/,mathcal{M}inO_3(mathbb{R});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="104" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img13.gif"
 ALT="$ \,\mathcal{M}\in O_3(\mathbb {R}) $">|; 

$key = q/;mathcal{A};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img3.gif"
 ALT="$ \;
\mathcal{A}$">|; 

$key = q/,mathcal{A}_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img10.gif"
 ALT="$ \,\mathcal{A}_0 $">|; 

$key = q/mathcal{B};;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img2.gif"
 ALT="$ \mathcal{B} \;$">|; 

$key = q/,mathcal{Q};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img5.gif"
 ALT="$ \,
\mathcal{Q}$">|; 

$key = q/r(mathcal{Q})=4:;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="83" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img18.gif"
 ALT="$ r(\mathcal{Q}) = 4 \:$">|; 

$key = q/:r(mathcal{Q})leq3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="83" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img19.gif"
 ALT="$ \: r(\mathcal{Q}) \leq 3 $">|; 

$key = q/widetilde{mathcal{M}}inGL_4(K),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="121" HEIGHT="46" ALIGN="MIDDLE" BORDER="0"
 SRC="img1.gif"
 ALT="$ \widetilde{\mathcal{M}} \in GL_4(K) \,$">|; 

$key = q/;mathcal{B}_0;;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img16.gif"
 ALT="$ \;\mathcal{B}_0 \;$">|; 

$key = q/,mathcal{A};;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img11.gif"
 ALT="$ \,\mathcal{A}\;$">|; 

$key = q/,mathcal{Q},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img17.gif"
 ALT="$ \, \mathcal{Q} \,$">|; 

1;

