Computing Decompositions of Modules over Finite-Dimensional Algebras

Based on our method for determining endomorphism rings [Lux and Szőoke 03], we describe an algorithm to compute decompositions of modules of finite-dimensional algebras over finite fields. The algorithm is implemented in the C-Meat-Axe [Ringe 94].

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Bibliographische Detailangaben
Veröffentlicht in:	Experimental mathematics 2007-01, Vol.16 (1), p.1-6
Hauptverfasser:	Lux, Klaus M., Szőoke, Magdolna
Format:	Artikel
Sprache:	eng
Schlagworte:	16A65 20C20 20C40 68W30 decompositions of modules endomorphism rings Modular representation theory Primary 20C20 Secondary 20C40, 16A65, 68W30
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Based on our method for determining endomorphism rings [Lux and Szőoke 03], we describe an algorithm to compute decompositions of modules of finite-dimensional algebras over finite fields. The algorithm is implemented in the C-Meat-Axe [Ringe 94].
ISSN:	1058-6458 1944-950X
DOI:	10.1080/10586458.2007.10128988