The aims of the GAP package SingerAlg are to document the computations needed in the papers [BHHK20] and [BHHK21], and to give access to the related GAP/Julia functions and to the database of Singer algebras of dimension up to 10000.
There is a manual (available in HTML and PDF format) that describes the available functions in detail.
The package requires GAP 4.11.0 (or a newer version of GAP).
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 or use the issue tracker of the git repository.
If you want to get the newest version of the SingerAlg package then download one of the archives. The following formats are available.
Further information about the installation is contained in the README.md file.
[BHHK20] Breuer, T., Héthelyi, L., Horváth, E. and Külshammer, B.,
The Loewy structure of certain fixpoint algebras, Part I,
J. Algebra 558
(2020),
199–220.
DOI: https://doi.org/10.1016/j.jalgebra.2019.05.004.
[BHHK21] Breuer, T., Héthelyi, L., Horváth, E. and Külshammer, B.,
The Loewy structure of certain fixpoint algebras, Part II,
Int. Electron. J. Algebra 30
(2021),
16–65.
DOI: https://doi.org/10.24330/ieja.969577.
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.
File created on 11-Sep-2020 by Thomas Breuer.
Last modified on 19-Jul-2021 by Thomas Breuer.