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Matching simple modules of condensation algebras

Part of: Representation theory of groups

Published online by Cambridge University Press:  01 December 2012

Felix Noeske
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

Secondary: 20C40: Computational methods
Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 15 , May 2012 , pp. 374 - 384
Copyright
© The Author(s) 2012

References

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