Exterior and tensor product of algebras

asked 8 years ago

Waldeck gravatar image

Hi,

I've been trying to construct something like Λ2AA where A is a free associative Q-algebra on some generators, say, x and y, without success. I think I understand the basics of the FreeAlgebra object in Sage, but I could not find more specific information about this kind of construction in the documentation or here in this forum. Ultimately, I would like to form and calculate with expressions like xyxxxy where x,yQx,y, the free associative unital algebra, and such that, for instance, xyxxxy=xxxyxy. Does anyone know whether this is or is not possible to achieve in Sage at the moment? Any help will be greatly appreciated.

Cheers,

Waldeck

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