Research Note explores how conjugation, field norm, and coupling inversion classify phase diagram crossings, affecting spectral theory.
Research Note 12 of the INDYNA program. This note studies the interplay of the Galois involution σ, the field norm, and coupling inversion g → 1/g in the conjugate-shell family: the three operations generate the symmetry group of the phase diagram, and their invariants classify the crossings. Part of the numbered series (Notes 7–15) on the exactly solvable spectral theory of icosahedral networks.
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Arber Gishto (2026) studied this question.
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