# pn_dimension

### synopsis: INT pn_dimension (OP n, OP partition, OP dim);

### description:

Calculates the dimension of the spin representation of O(n) (the Pin(n) group) labelled by the partition. An ERROR results if the number of parts exceeds n/2. Each irreducible spin representation of O(n) is labelled by a partition for which the number of parts does not exceed n. In fact, for n odd, there are further representations of Pin(n): the associates of those for which the number of parts does not exceed n/2. However as two-valued representations of O(n), the distinction is lost.### return:

OK or ERROR.

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