Hello,
I have a finite dimensional algebra over rationals, defined by multiplication matrices. I am using
B = FiniteDimensionalAlgebra(QQ, [R,ME23,ME13,ME12,MDe1,MDe2,MDe3,ME1,ME2,ME3,MD1,MD2,MD3,Md])
for some matrices like
R=Matrix([r,E23,E13,E12,De1,De2,De3,E1,E2,E3,D1,D2,D3,d])
and lists
r=[1,0,0,0,0,0,0,0,0,0,0,0,0,0]
to define the algebra.
What I need is a the coefficient of some products with respect to a new basis, more precisely: I have an explicit basis of the form $H_1:= E12+E,H_2\dots$ and I would like to find the coefficients of $H_i*H_j$ with respect to the new basis. Is there a specific command to get this?
I have a problem already in computing
B(H1)*B(H2)
indeed they say that H1 has not the expected length.
Thanks a lot in advance!
