Computing Homomorphism Spaces between Modules over Finite Dimensional Algebras

DOI10.1080/10586458.2003.10504714zbMath1048.16029OpenAlexW2029230222MaRDI QIDQ4811495

M. Szőke, Klaus Lux

Publication date: 6 September 2004

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

Full work available at URL: https://projecteuclid.org/euclid.em/1064858786

zbMATH Keywords

algorithmsendomorphism ringsfinite-dimensional algebrashomomorphism spaces

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Computational aspects of associative rings (general theory) (16Z05) Software, source code, etc. for problems pertaining to associative rings and algebras (16-04)

Related Items (10)

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 \(Co_3\). ⋮ The module isomorphism problem reconsidered. ⋮ The Broué conjecture for the faithful 3-blocks of 4.\(M_{22}\). ⋮ Matrix method for persistence modules on commutative ladders of finite type ⋮ Testing isomorphism of modules. ⋮ Broué's Abelian defect group conjecture holds for the Harada-Norton sporadic simple group \(HN\). ⋮ On the Structure of the Tensor Square of the Natural Module of the Symmetric Group ⋮ Vertices of Lie modules.

Uses Software

• Magma
• MeatAxe

Cites Work

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• Constructing homomorphism spaces and endomorphism rings.
• Computing with endomorphism rings of modular representations
• Peakword condensation and submodule lattices: An application of the Meat- Axe
• Determination of socle series using the condensation method

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