Computing Decompositions of Modules over Finite-Dimensional Algebras

DOI10.1080/10586458.2007.10128988zbMath1131.16024OpenAlexW2046774071MaRDI QIDQ5441074

M. Szőke, Klaus Lux

Publication date: 7 February 2008

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1175789797

zbMATH Keywords

algorithmsendomorphism ringsmodular representation theorydecompositions of modules

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Computational aspects of associative rings (general theory) (16Z05) Software, source code, etc. for problems pertaining to associative rings and algebras (16-04)

Related Items (8)

Broué's abelian defect group conjecture and 3-decomposition numbers of the sporadic simple Conway group \(Co_1\). ⋮ Broué's Abelian defect group conjecture for the sporadic simple Janko group \(J_4\) revisited. ⋮ Broué's Abelian defect group conjecture holds for the sporadic simple Conway group \(Co_3\). ⋮ Matrix method for persistence modules on commutative ladders of finite type ⋮ Broué's Abelian defect group conjecture holds for the Harada-Norton sporadic simple group \(HN\). ⋮ Persistence modules on commutative ladders of finite type ⋮ Unnamed Item ⋮ Vertices of Lie modules.

Uses Software

• MeatAxe

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