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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.20221773 |
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Table of Contents:
- <p>We prove a classification-level result for compact connected Lie groups acting on C³. Under three independently motivated assumptions — a determinant constraint, the presence of a cyclic 3-symmetry, and non-self-conjugacy of the representation — the only compact connected Lie group admitting a faithful irreducible unitary representation on C³ is SU(3). The non-self-conjugacy assumption is motivated via an Information Preservation Principle (IPP). The proof proceeds via the Peter–Weyl structure theorem, the Weyl dimension formula, and a center-quotient argument. A minimality corollary establishes that no proper compact connected subgroup of SU(3) satisfies all three conditions simultaneously.</p>