The aims of the GAP package SingerAlg are to document the computations needed in the papers The Loewy structure of certain fixpoint algebras, Part I (see also the MR report) and The Loewy structure of certain fixpoint algebras, Part II, and to give access to the related GAP/Julia functions and to the database of Singer algebras of dimension up to 10000.
For further information see the homepage of the package, where package archives can be found as well as the data files of low dimensional Singer algebras.
The code was written by Thomas Breuer. The underlying theory was developed in the abovementioned papers, by Thomas Breuer, László Héthelyi, Erzsébet Horváth, and Burkhard Külshammer.
For questions or suggestions write to
Thomas.Breuer@Math.RWTH-Aachen.De
or use the issue tracker of the git repository.
In principle it is enough to unpack the archive in question in the pkg
subdirectory of your GAP installation.
This generates a subdirectory SingerAlg-x.y.z.
No kernel module has to be compiled, but the package provides also functions that rely on the GAP-Julia integration via the GAP package JuliaInterface, which is part of the Julia package GAP.jl. In particular GAP must be compiled with Julia's garbage collector if one wants to load this package.
If you want to use the Julia functionality but you do not have a GAP installation with GAP-Julia integration then the easiest way to install this is to install first Julia (at least version 1.3) and then let Julia install GAP.jl, as described in its README.md file.
This package may be distributed under the terms and conditions of the GNU Public License Version 3 or later.
Thomas Breuer gratefully acknowledges support by the German Research Foundation (DFG) -- Project-ID 286237555 -- within the SFB-TRR 195 Symbolic Tools in Mathematics and their Applications.