so_dimension
synopsis: INT so_dimension (OP n, OP partition, OP dim);
description:
Calculates the dimension of the representation of SO(n)
labelled by the partition. If the number of parts
exceeds n/2, then an ERROR results.
Each irreducible representation of SO(n) is labelled
by a partition with not more than [n/2] parts, except
that if n is even then two inequivalent irreducible
representations correspond to each partition with
exactly n/2 parts. (These two representations are
usually distinguished by the use of + or - subscript
on the partition label.) However, the two irreducible
representations labelled by partitions with exactly
n/2 non-zero parts are of the same dimension and so
for the current purposes, using the partition label is
sufficient.
return:
OK or ERROR.
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