[GAP Forum] Character table library for E7(2) and E8(2)

[Frank Lübeck]

On Thu, Sep 07, 2017 at 01:49:40PM +0200, Marek Mitros wrote:
> Hello,
> 
> I am using GAP 4.7.5 from 2014. I am using character table library, e.g.
> conjugacy class names and sizes and ClassMultiplicationCoefficient
> function. I wonder whether this library is available now for groups E_7(2)
> and E_8(2) ?

Dear Marek, dear Forum,

The full character tables for E7(2) and E8(2) are still not known. With the
mathematical and computational techniques we have today, it may be possible
to compute them; but one cannot be sure before trying it (it is on a TODO
list).

In the moment you can find some information on my webpage.
Some information on conjugacy classes, centralizers and all character
degrees is here:
   http://www.math.rwth-aachen.de/~Frank.Luebeck/chev/E72.html
   http://www.math.rwth-aachen.de/~Frank.Luebeck/chev/E82.html
In fact, you can find most of this information even for all
E7(q) and E8(q):
   http://www.math.rwth-aachen.de/~Frank.Luebeck/chev/nrclasses/nrclasses.html
   http://www.math.rwth-aachen.de/~Frank.Luebeck/chev/DegMult/

> I am also interested to see where I can find sizes of involution classes in
> these groups. But this is probably question to other mailing list.
See
   http://www.math.rwth-aachen.de/~Frank.Luebeck/chev/23elts.html
and the references given there. This describes which classes on the E7(2)
and E8(2) pages are involution classes.

With best regards,
  Frank

-- 
///  Dr. Frank Lübeck, Lehrstuhl D für Mathematik, Pontdriesch 14/16,
\\\                    52062 Aachen, Germany
///  E-mail: Frank.Luebeck at Math.RWTH-Aachen.De
\\\  WWW:    http://www.math.rwth-aachen.de/~Frank.Luebeck/