GAP Package SBStrips

String modules for special biserial (SB) algebras are represented by string graphs. Many modules related to a given string module, including its syzygy, transpose and vector-space dual and hence Auslander-Reiten translate and inverse translate, are also string modules. These related modules can be calculated combinatorially rather than algebraically. SBStrips implements this functionality in GAP, representing string graphs as objects called strips. It includes some tests for associated properties such as syzygy type, delooping level and weak periodicity.

SBStrips also includes bookkeeping functionality for multisets, which it calls collected lists, and it integrates with (and depends on) the QPA package for quiver algebras and their modules.

The current version of this package is version v0.6.5, released on 2021-02-24. For more information, please refer to the package manual. There is also a README file.

Dependencies

This package requires GAP version >=4.11

The following other GAP packages are needed:

qpa 1.30
GAPDoc >=1.6

Author

Joe Allen.

Citing

Please, cite this package as

[All21] Allen, J., SBStrips, for syzygies of string modules over special biserial algebras, Version v0.6.5 (2021)
(GAP package), https://github.com/jw-allen/sbstrips.

You can get more info by typing Cite("SBStrips"); in the gap prompt.

Feedback

For bug reports, feature requests and suggestions, please use the issue tracker.