[GAP Forum] Structure constants of E7(2) and E8(2)

Steve Linton steve.linton at st-andrews.ac.uk
Tue Jun 23 07:27:00 BST 2015


Since you would want a character table from the library, you would not want to create the group first. So you really want

CharacterTable(“E7”,2); or CharacterTable(“E7(2)”);

However, As Frank says these are not actually known. CharacterTable(“E6(2)”) does work.

	Steve

> On 22 Jun 2015, at 22:00, Bill Allombert <Bill.Allombert at math.u-bordeaux.fr> wrote:
> 
> On Tue, Jun 23, 2015 at 04:06:43AM +0800, 刘建军 wrote:
>> Dear forum,
>> 
>> I would like to know whether there is a way to compute the structure constants of Exceptional groups of Lie type E7(2) and E8(2) using GAP.
>> 
>> The “CharacterTable(SimpleGroup(E7(2))” returns an  Error, so the command “ClassMultiplicationCoefficient” is not valid.
>> 
>> Is there a method to get it?
> 
> I do not know if this is relevant, but the correct syntax is
> 
> SimpleGroup("E7(2)");
> 
> (with quotes around E7(2))
> 
> Cheers,
> Bill
> 
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