Memoize -- Option to record values of the jacobiTrudi function

This is an optional argument for the jacobiTrudi function, allowing one to store its values in order to speed up computations. When Memoize => true, every computed value is cached in a hash table on the symmetric ring, so repeated calls on the same partition return the cached value in constant time.

The cache is attached to the ring R. After one partition is memoized, subsequent calls with a different partition perform the full Jacobi-Trudi determinant expansion, then cache it as well:

Without Memoize => true, each call recomputes the determinant from scratch; for large partitions this can be substantially more expensive than a single cached lookup.

Functions with optional argument named Memoize:

• jacobiTrudi(...,Memoize=>...) -- Store values of the jacobiTrudi function.