Every algorithm in GAP is given in full for users to read and understand.

This one is stored in lib/algebra.gi and an overview is given of how it works in that file (around line 3400). At the end of the overview is the comment:

##   For a more elaborate description we refer to "W. Eberly and M.
##   Giesbrecht, Efficient Decomposition of Associative Algebras,
##   Proceedings of ISSAC 1996."

After that comment, the full source code of CentralIdempotentsOfAlgebra is given.

董井成 wrote:
Dear forum,Dear everyone:
I would like to know the algorithm of the function CentralIdempotentsOfAlgebra( 
A ).Please tell me if you know.
Best wishes!
Jingcheng Dong

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