71.44 ECore

ECore(H|e, mu)

The e-core of a partition mu is what remains after as many rim e-hooks as possible have been removed from the diagram of mu (that this is well defined is not obvious; see [JK]). Thus, ECore(mu) returns the e--core of the partition mu,

gap> H:=Specht(6);; ECore(H,16,8,6,5,3,1);
[ 4, 3, 1, 1 ]

The e--core is calculated here using James' notation of an abacus; there is also an EAbacus function; but it is more ``pretty'' than useful.

See also IsECore IsECore, EQuotient EQuotient, and EWeight EWeight. This function requires the package ``specht'' (see RequirePackage).

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GAP 3.4.4
April 1997