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The Maxima on-line user's manual

Algebra Calculator

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Multsym Calculator

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) 

Multsym Example

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