Wedderga

Wedderburn Decomposition of Group Algebras

Version 4.10.5
Released 2024-02-19

This project is maintained by Gurmeet Kaur Bakshi, Osnel Broche Cristo, Allen Herman, Olexandr Konovalov, Sugandha Maheshwary, Gabriela Olteanu, Aurora Olivieri, Angel del Rio, Inneke Van Gelder

GAP Package Wedderga

Wedderga is the package to compute the simple components of the Wedderburn decomposition of semisimple group algebras of finite groups over finite fields and over subfields of finite cyclotomic extensions of the rationals. It also contains functions that produce the primitive central idempotents of semisimple group algebras and functions for computing Schur indices. Other functions of Wedderga allow one to construct crossed products over a group with coefficients in an associative ring with identity and the multiplication determined by a given action and twisting.

The current version of this package is version 4.10.5, released on 2024-02-19. For more information, please refer to the package manual. There is also a README file.

License: GPL-2.0-or-later

Dependencies

This package requires GAP version >=4.8

The following other GAP packages are needed:

The following additional GAP packages are not required, but suggested:

Authors

Gurmeet Kaur Bakshi, Osnel Broche Cristo, Allen Herman, Olexandr Konovalov, Sugandha Maheshwary, Gabriela Olteanu, Aurora Olivieri, Angel del Rio, Inneke Van Gelder.

Citing

Please, cite this package as

[BCHKMOORG24] Bakshi, G. K., Broche Cristo, O., Herman, A., Konovalov, O., Maheshwary, S., Olteanu, G., Olivieri, A., del Rio, A. and Van Gelder, I., Wedderga, Wedderburn Decomposition of Group Algebras, Version 4.10.5 (2024)
(Refereed GAP package), https://gap-packages.github.io/wedderga.

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

Feedback

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