September 3, 2024Open Access

Existence of elementwise invariant vectors in representations of symmetric groups

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Abstract

We determine when a permutation with cycle type μ admits a non-zero invariant vector in the irreducible representation V λ of the symmetric group. We find that a majority of pairs (λ,μ) have this property, with only a few simple exceptions.

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Amrutha et al. (Tue,) studied this question.

synapsesocial.com/papers/68e597e1b6db643587532af6 https://doi.org/https://doi.org/10.5802/alco.369

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