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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