[GAP Forum] CentralIdempotentsOfAlgebra

Justin C. Walker justin at mac.com
Mon Oct 10 17:54:46 BST 2011


Dear Neha and Forum,

On Oct 10, 2011, at 08:58 , Neha Makhijani wrote:

> Hi,
> 
> Can somebody please tell me as to how we read the output
> of CentralIdempotentsOfAlgebra function.
> 
> G:=SymmetricGroup(3);
> Sym( [ 1 .. 3 ] )
> K2G := GroupRing( GF(2), G );;
> R2 := RadicalOfAlgebra(K2G);;
> CentralIdempotentsOfAlgebra(K2G/R2);
> 
> [ v.4+v.5, v.1+v.4+v.5 ]
> 
> As in, what do these v's represent and how do I read them??

I believe the 'v's are the generators of the algebra K2G/R2.  How the generators are named and displayed, I think, depends on how the algebra is defined.

Justin

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Justin C. Walker, Curmudgeon at Large
Director
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