On the faithfulness of certain representations of \(\mathrm{GL}_2(\mathbb F)\) under an Iwasawa algebra

DOI10.4171/RSMUP/131-4zbMath1311.22024MaRDI QIDQ396485

Yongquan Hu, Stefano Morra, Benjamin Schraen

Publication date: 13 August 2014

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

zbMATH Keywords

invariant idealsIwasawa algebramodulo \(p\) Langlands program

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Formal power series rings (13F25)

Related Items (1)

Iwasawa modules and \(p\)-modular representations of GL2

Cites Work

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• Modules over unramified regular local rings
• Non-existence of reflexive ideals in Iwasawa algebras of Chevalley type.
• \(\Gamma\)-invariant ideals in Iwasawa algebras.
• Irreducible modular representations of GL\(_ 2\) of a local field
• Prime ideals in nilpotent Iwasawa algebras.
• Reflexive ideals in Iwasawa algebras.

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