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Abstract
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We propose a general algorithm to compute all the symmetry classes of any
or
linear
representation. This method relies on a binary operator between sets of conjugacy
classes of closed subgroups, called the
clips. We compute explicit tables for this
operation, which allows us to definitively solve the problem.
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Keywords
isotropy classes, clips, linear representations, symmetry
classes, tensorial representations
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Mathematical Subject Classification 2010
Primary: 20C35, 22C05
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Milestones
Received: 4 January 2019
Revised: 16 June 2019
Accepted: 2 September 2019
Published: 14 September 2019
Communicated by Francesco dell'Isola
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