On eigenvalues of permutations in irreducible representations of symmetric and alternating groups

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Eigenvalues of permutations show intricate patterns in representations of groups, highlighting fundamental connections.
Key findings involve the comprehensive analysis of eigenvalues associated with symmetric and alternating groups.
Investigation of irreducible representations of symmetric groups reveals novel behavior in eigenvalue distribution.
Implications suggest further exploration into the properties of group representations may yield new theoretical advancements.

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Analysis reveals eigenvalues of permutations in symmetric and alternating groups, indicating new insights into group theory.

Alexey Staroletov (2025) studied this question.

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