Exterior and tensor product of algebras
Hi,
I've been trying to construct something like Λ2A⊗A 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 xy∧xx⊗xy where x,y∈Q⟨x,y⟩, the free associative unital algebra, and such that, for instance, xy∧xx⊗xy=−xx∧xy⊗xy. 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