# Using symmetric function package and multiplication in sagemath

I am having a problem working in SageMath with the following series. In Maple, I could define

$$n(d):= \sum_{k=1}^{d} \operatorname{schur}((k,1^{d-k}))\prod_{\square \in (k,1^{d-k})} \, G(c(\square)h) \tag{*}$$

where

- $\operatorname{schur}$ is the usual schur function I have created using the character formula,
- $G(h)$ is a series in $h$,
- the $c(\square)$ is the content of the Young tableaux.

For example for $d=3$ it can be read as follows

$$ \operatorname{schur}([1,1,1]) \, G(h) \, G(2h) - \operatorname{schur}([2,1]) \, G(h) \, G(-h) + \operatorname{schur}([3]) \, G(2h) \, G(h) $$

I wanted to do a similar thing in SageMath with Jack polynomials instead of Schur polynomials.

Hence I defined

```
Sym = SymmetricFunctions(QQ)
JJ = Sym.jack(t=1).J()
s = Sym.schur()
```

I can see that I have defined the symmetric function over the field of rationals.
Even when I define a new variable in Sage with `var('h')`

I cannot
multiply `JJ[2,1]`

and `h`

-- it gives an error -- hence I cannot
compute $(*)$ with Jack polynomials in SageMath.

I am sure there is a way around. Please let me know.