Products in a free algebra.

FreeAlgebra

asked 2013-07-01 06:10:15 +0200

If I have a free algebra generated by x and y is there a way to tell that xy is a product of x and y? I would like to define a function that takes products xy and returns -2x - 2y - 4.

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answered 2013-07-02 01:32:45 +0200

broken_symlink
31 ●6

updated 2013-07-02 01:35:52 +0200

Someone answered my question on the mailing list. To get access to each generator in a product you need to use the following:

F.<x,y>=FreeAlgebra(ZZ,2)
g=4+3*x^7*y^10*x^13
h=g._FreeAlgebraElement__monomial_coefficients
print h
print h.items()
print h.items()[1][0]._element_list

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