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Modules over Algebras
New Features:
- A new Meataxe algorithm has been developed for splitting general
A-modules, where A is a finite dimensional matrix algebra defined
over the rational field. This yields an effective algorithm for
decomposing a module into indecomposable summands. If the module is a
G-module for some group G, extensive use is also made of character
theory. Representations associated with characters having non-trivial
Schur indices are properly handled. The difficult problem of splitting
homogeneous modules (direct sums of the same indecomposable) is handled
by decomposing the endomorphism ring of the module via a maximal order.
Modules having dimensions in the several hundreds are routinely
split into indecomposable modules. Such modules are created
via such functions as GModule and RModule, as for
modules over finite fields.
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