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This is a Quantitative Study study.

September 29, 2025Open Access

On self-extensions of irreducible modules over symmetric groups, II

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The study shows evidence that irreducible representations lack non-trivial self-extensions in certain fields.
Results indicate improvements over findings related to self-extensions in symmetric groups and odd characteristic fields.
Observational analysis of the structure of irreducible representations has provided new insights on this conjecture.
The findings support existing conjectures but highlight the need for broader implications across other related modules.

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Implication

This research extends findings on self-extension of irreducible representations in symmetric groups, implying no non-trivial extensions occur over fields of odd characteristic.

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Lucia Morotti (2025) studied this question.

synapsesocial.com/papers/68da58d8c1728099cfd1102d https://doi.org/10.48550/arxiv.2505.18316

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Implication

This research extends findings on self-extension of irreducible representations in symmetric groups, implying no non-trivial extensions occur over fields of odd characteristic.

On self-extensions of irreducible modules over symmetric groups, II

Key Points

Discussion

Implication

Cite This Study

On self-extensions of irreducible modules over symmetric groups, II

Key Points

Discussion

Implication

Cite This Study

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