The Tits form
The Tits form qa is an integral quadratic form associated
with an algebra a. In particular, qa is a linear
map from Zn to the integers Z where n is the number
of vertices in the quiver of the algebra a. Such a quadratic form is
represented in CREP by its integral symmetric coefficient matrix, ie a matrix
Q with integral coefficients and the property
qa(x) = xT Q x for any vector x in
Zn.
The function 'titsform' calculates the corresponding matrix for a
given bound poset algebra. This matrix in our example being of size
54 x 54 we display only part of the function's output:
Back to the worksheet of the example session.
Last modified: 04-03-1998