March 30, 2024Open Access

On the rank of the multivariable (, OK^) -modules associated to mod p representations of GL₂ (K)

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Let p be a prime number, K a finite unramified extension of Qₚ and F a finite extension of Fₚ. For an admissible smooth representation of GL₂ (K) over F satisfying certain multiplicity-one properties, we compute the rank of the associated \'etale (, OK^) -module DA () defined by Breuil-Herzig-Hu-Morra-Schraen, extending their results.

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Yitong Wang (Sat,) studied this question.

synapsesocial.com/papers/68e71abfb6db643587694821 — DOI: https://doi.org/10.48550/arxiv.2404.00389

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Yitong Wang

Regenstrief Institute

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On the rank of the multivariable (, OK^) -modules associated to mod p representations of GL₂ (K)

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