HallInnerProduct function

Hall inner product

Hall inner product of two symmetric polynomials. It has a parameter alpha and the standard Hall inner product is the case when alpha=1. It is possible to get the Hall inner product with a symbolic alpha parameter.

HallInnerProduct(qspray1, qspray2, alpha = 1)

Arguments

• qspray1, qspray2: two symmetric qspray polynomials
• alpha: parameter equal to 1 for the usual Hall inner product, otherwise this is the "Jack parameter"; it must be either a single value coercible to a bigq number, e.g. "2/5", or NULL to get the Hall product with a symbolic alpha

Returns

A bigq number if alpha is not NULL, otherwise a univariate qspray polynomial.