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#### Search: #### Multsym

Function: multsym (<ppart_1>, <ppart_2>, <n>) returns the product of the two symmetric polynomials in <n> variables by working only modulo the action of the symmetric group of order <n>. The polynomials are in their partitioned form.

Given the 2 symmetric polynomials in <x>, <y>: `3*(x + y) + 2*x*y` and `5*(x^2 + y^2)` whose partitioned forms are `[[3, 1], [2, 1, 1]]` and `[[5, 2]]`, their product will be

```          (%i1) multsym ([[3, 1], [2, 1, 1]], [[5, 2]], 2);
(%o1)         [[10, 3, 1], [15, 3, 0], [15, 2, 1]]
that is `10*(x^3*y + y^3*x) + 15*(x^2*y + y^2*x) + 15*(x^3 + y^3)`.```

Functions for changing the representations of a symmetric polynomial:

`contract`, `cont2part`, `explose`, `part2cont`, `partpol`, `tcontract`, `tpartpol`.

```(%o1)                                true
(%i2) ```

### Related Examples

##### multsym

multsym ([[3, 1], [2,...

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? multsym;

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##### multsym

multsym ([[3, 1], [2,...

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##### multsym

? multsym;

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