FUNCTION: Part2SgaCIdemp - compute a central idempotent of the symmetric group algebra

CALLING SEQUENCE:

Part2SgaCIdemp(part)

SGA[Part2SgaCIdemp](part)

PARAMETERS:

part = any list denoting a partition

SYNOPSIS:

• The Part2SgaCIdemp function gives the central idempotent corresponding to the partition part, as an element of the symmetric group algebra.

• Whenever there is a conflict between the function name Part2SgaCIdemp and another name used in the same session, use the long form SGA['Part2SgaCIdemp'].

EXAMPLES:

> with(SGA):
> Part2SgaCIdemp([2,1]);
 
               2/3 A[1, 2, 3] - 1/3 A[3, 1, 2] - 1/3 A[2, 3, 1]