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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