| Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/GAP/pkg/repndecomp/lib/ (GAP Algebra Version 4.15.1©) Datei vom 12.8.2025 mit Größe 1 kB |
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Quelle mymethod.gd Sprache: Shell |
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#! @Chapter Computing decompositions of representations #! @Section Algorithms due to the authors #! @Description Computes the same values as <Ref #! Attr="REPN_ComputeUsingSerre" Label="for IsGroupHomomorphism" />, #! taking the same options. The heavy lifting of this method is done #! by <Ref Func="LinearRepresentationIsomorphism" />, where there are #! some further options that can be passed to influence algorithms #! used. #! #! <P/> #! @InsertChunk Example_REPN_ComputeUsingMyMethod #! <P/> #! @Arguments rho #! @Returns A record in the same format as <Ref #! Attr="REPN_ComputeUsingSerre" Label="for IsGroupHomomorphism" /> DeclareAttribute( "REPN_ComputeUsingMyMethod", IsGroupHomomorphism ); #! @Description Performs the same computation as <Ref #! Attr="REPN_ComputeUsingMyMethod" Label="for IsGroupHomomorphism" #! />, but first splits the representation into canonical summands #! using <Ref Func="CanonicalDecomposition" />. This might reduce the #! size of the matrices we need to work with significantly, so could #! be much faster. #! #! If the option `parallel` is given, the decomposition of canonical #! summands into irreps is done in parallel, which could be much #! faster. #! #! <P/> #! @InsertChunk Example_REPN_ComputeUsingMyMethodCanonical #! <P/> #! @Arguments rho #! @Returns A record in the same format as <Ref #! Attr="REPN_ComputeUsingMyMethod" Label="for IsGroupHomomorphism" #! />. DeclareAttribute( "REPN_ComputeUsingMyMethodCanonical", IsGroupHomomorphism );
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2026-11-01