Peakword Condensation and Submodule Lattices: An Application of the Meat-Axe

Klaus M Lux, Jürgen Müller, Michael Ringe

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

We describe a new condensation method for computing the submodule lattice of a module for a finite dimensional algebra over a finite field, which exploits the idea of condensation and extends it to the case of primitive idempotents. The method has been implemented in the new C version of the MEAT-AXE developed at Aachen, and we give several examples which have been analysed with our method.

Original languageEnglish (US)
Pages (from-to)529-544
Number of pages16
JournalJournal of Symbolic Computation
Volume17
Issue number6
DOIs
StatePublished - Jun 1994
Externally publishedYes

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Meats
Condensation
Algebra
Finite Dimensional Algebra
Idempotent
Galois field
Module
Computing

ASJC Scopus subject areas

  • Computational Mathematics
  • Algebra and Number Theory

Cite this

Peakword Condensation and Submodule Lattices : An Application of the Meat-Axe. / Lux, Klaus M; Müller, Jürgen; Ringe, Michael.

In: Journal of Symbolic Computation, Vol. 17, No. 6, 06.1994, p. 529-544.

Research output: Contribution to journalArticle

Lux, Klaus M ; Müller, Jürgen ; Ringe, Michael. / Peakword Condensation and Submodule Lattices : An Application of the Meat-Axe. In: Journal of Symbolic Computation. 1994 ; Vol. 17, No. 6. pp. 529-544.
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