Computing decompositions of modules over finite-dimensional algebras

Klaus M. Lux; Magdolna Szőke

doi:10.1080/10586458.2007.10128988

Computing decompositions of modules over finite-dimensional algebras

Klaus M. Lux, Magdolna Szőke

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Based on our method for determining endomorphism rings [Lux and Szőke 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].

Original language	English (US)
Pages (from-to)	1-6
Number of pages	6
Journal	Experimental Mathematics
Volume	16
Issue number	1
DOIs	https://doi.org/10.1080/10586458.2007.10128988
State	Published - 2007
Externally published	Yes

Keywords

Decompositions of modules
Endomorphism rings
Modular representation theory

ASJC Scopus subject areas

General Mathematics

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10.1080/10586458.2007.10128988

Cite this

@article{29141488feef41a2812a2d66ef42d452,

title = "Computing decompositions of modules over finite-dimensional algebras",

abstract = "Based on our method for determining endomorphism rings [Lux and Sz{\H o}ke 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].",

keywords = "Decompositions of modules, Endomorphism rings, Modular representation theory",

author = "Lux, {Klaus M.} and Magdolna Sz{\H o}ke",

note = "Funding Information: The first author was partially supported by an NSF grant. The second author was supported by Hungarian Scientific Research Grant OTKA T 034878.",

year = "2007",

doi = "10.1080/10586458.2007.10128988",

language = "English (US)",

volume = "16",

pages = "1--6",

journal = "Experimental Mathematics",

issn = "1058-6458",

publisher = "A K Peters",

number = "1",

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T1 - Computing decompositions of modules over finite-dimensional algebras

AU - Lux, Klaus M.

AU - Szőke, Magdolna

N1 - Funding Information: The first author was partially supported by an NSF grant. The second author was supported by Hungarian Scientific Research Grant OTKA T 034878.

PY - 2007

Y1 - 2007

N2 - Based on our method for determining endomorphism rings [Lux and Szőke 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].

AB - Based on our method for determining endomorphism rings [Lux and Szőke 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].

KW - Decompositions of modules

KW - Endomorphism rings

KW - Modular representation theory

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DO - 10.1080/10586458.2007.10128988

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EP - 6

JO - Experimental Mathematics

JF - Experimental Mathematics

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Computing decompositions of modules over finite-dimensional algebras

Abstract

Keywords

ASJC Scopus subject areas

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