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A constructive method for decomposing real representations

2018/04/10 by Sajid Ali, Hassan Azad, Ali, Sajid +5
Mathematics · Physics and Astronomy · #17B30 #17B45 #17B81 #34L99 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Representation Theory (math.RT) #math-ph #math.MP #math.RT #msc:17B30 #msc:17B45 #msc:17B81 #msc:34L99

paper · pdf · doi:10.48550/arxiv.1804.03614

Final version; to appear in "Journal of Symbolic Computation"

arxiv created 2020/06/18 · arxiv updated 2020/06/19

Abstract

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 GAP4.

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