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Matching simple modules of condensation algebras

Published online by Cambridge University Press:  01 December 2012

Felix Noeske*
Affiliation:
Lehrstuhl D für Mathematik, RWTH Aachen University, 52056 Aachen, Germany (email: felix.noeske@math.rwth-aachen.de)

Abstract

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We revise the matching algorithm of Noeske (LMS J. Comput. Math. 11 (2008) 213–222) and introduce a new approach via composition series to expedite the calculations. Furthermore, we show how the matching algorithm may be applied in the more general and frequently occurring setting that we are only given subalgebras of the condensed algebras which each contain the separable algebra of one of their Wedderburn–Malcev decompositions.

MSC classification

Type
Research Article
Copyright
© The Author(s) 2012

References

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