sn_dimension
synopsis: INT sn_dimension (OP n, OP partition, OP dim);
description:
Calculates the dimension of the spin representation of
SO(n) (the Spin(n) group) labelled by the partition.
If the number of parts exceeds n/2, then an ERROR results.
For n odd, each irreducible spin representation of SO(n)
is labelled by a partition with not more than [n/2] parts.
For n even, each irreducible spin representation of SO(n)
is one of two labelled by a partition with not more than
n/2 parts. (These two representations are usually
distinguished by the use of + or - subscript on the
partition label.) However, for n even, the two
inequivalent irreducible representations labelled
by a partition 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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