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Effective
computation of $\operatorname{SO}(3)$ and $\mathrm{O}(3)$
linear representation symmetry classes
Marc Olive
Vol. 7 (2019), No. 3, 203–237
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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. |
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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Authors |
| Marc Olive | |
| Laboratoire de Mécanique et
Technologie École Normale Supérieure Paris-Saclay Centre National de la Recherche Scientifique Université Paris-Saclay Cachan France |
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