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A constructive method for decomposing real representations

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arxiv 1804.03614 v3 pith:FUZXZ2WI submitted 2018-04-10 math.RT math-phmath.MP

A constructive method for decomposing real representations

classification math.RT math-phmath.MP
keywords methodconstructivedecomposingrealrepresentationsalgebraalgebrasalgorithm
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A constructive method for decomposing finite dimensional representations of semisimple real Lie algebras is developed. The method is illustrated by an example. We also discuss an implementation of the algorithm in the language of the computer algebra system {\sf GAP}4.

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