### Graphical input of an algebra

The function 'get_alg' provides the possibility of entering an algebra
given by a quiver and relations by graphical means. The following quiver was
constructed by hand, using the mouse its position the points and arrows.
The program X-Quiver, used by 'get_alg' to handle this input also
provides several ways of modifying and correcting existing input.
Also, on demand, it will provide a separate window - which we do
not show here -for handling relations imposed on a quiver in question.

Still the data generated by the call of the function 'get_alg' may be
interpreted in several different ways, corresponding to different classes
of algebras. Thus it is necessary to convert the this output into the
standard data format for the corresponding class. In the case of our
example, the algebra 'a' is to be considered as a bound poset algebra,
the function 'bp_alg' doing the conversion, as displayed below.

It will not escape notice however
that the standard data format for bound poset algebras, though it is better
adapted to the data handling of the Maple system, is not quite as
readable as is the original graphical input. Still, an algebra may also
be typed right into Maple's user interface, using this standard format.

Back to the worksheet of the example session.

* Last modified: 04-03-1998 *