Matching Simple Modules of Condensed Algebras

DOI10.1112/S1461157000000577zbMath1225.20012MaRDI QIDQ3091963

Felix Noeske

Publication date: 15 September 2011

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

zbMATH Keywords

idempotentsfinite-dimensional algebrassimple modulescondensationcomposition factorscomposition seriesrestriction functorirreducible modular representationscomputational representation theory

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Software, source code, etc. for problems pertaining to associative rings and algebras (16-04)

Related Items (2)

The Brauer characters of the sporadic simple Harada–Norton group and its automorphism group in characteristics 2 and 3 ⋮ Matching simple modules of condensation algebras

Cites Work

• The 2- and 3-modular characters of the sporadic simple Fischer group \(Fi_{22}\) and its cover.
• Computer condensation of modular representations
• Peakword condensation and submodule lattices: An application of the Meat- Axe
• The 2-modular characters of the Fischer group \(Fi_{23}\).
• Enumerating Large Orbits and Direct Condensation
• Condensation of symmetrized tensor powers

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