Computing Decompositions of Modules over Finite-Dimensional Algebras

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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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
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container_title Experimental mathematics
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creator Lux, Klaus M.
Szőoke, Magdolna
description 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].
doi_str_mv 10.1080/10586458.2007.10128988
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subjects 16A65
20C20
20C40
68W30
decompositions of modules
endomorphism rings
Modular representation theory
Primary 20C20
Secondary 20C40, 16A65, 68W30
title Computing Decompositions of Modules over Finite-Dimensional Algebras
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