Conjectures and results on modular representations of GL n (K) for a p-adic field K

C Breuil, F Herzig, Y Hu, S Morra, B Schraen - 2021 - hal.science
Let p be a prime number and K a finite extension of Qp. We state conjectures on the smooth
representations of GLn (K) that occur in spaces of mod p automorphic forms (for compact …

Prime ideals in nilpotent Iwasawa algebras

K Ardakov - Inventiones mathematicae, 2012 - Springer
Let G be a nilpotent complete p-valued group of finite rank and let k be a field of
characteristic p. We prove that every faithful prime ideal of the Iwasawa algebra kG is …

Verma modules for Iwasawa algebras are faithful

K Ardakov, S Wadsley - arXiv preprint arXiv:1308.5104, 2013 - arxiv.org
We establish the faithfulness of Verma modules for rational Iwasawa algebras of split
semisimple compact $ L $-analytic groups. We also prove the algebraic independence of …

The controller subgroup of one-sided ideals in completed group rings

K Ardakov - New trends in noncommutative algebra, 2012 - books.google.com
Let G be a compact p-adic analytic group and let I be a right ideal of the Iwasawa algebra
kG. A closed subgroup H of G is said to control I if I can be generated as a right ideal by a …

[PDF][PDF] Sur la fidélité de certaines représentations de sous une algébre d'Iwasawa

Y Hu, S Morra, B Schraen - Rendiconti del Seminario Matematico della …, 2014 - numdam.org
Sur la fideÂlite de certaines repreÂsentations de GL 2(p) sous une algeÁbre d'Iwasawa Page
1 REND. SEM. MAT. UNIV. PADOVA, Vol. 131 (2014) DOI 10.4171/RSMUP/131-4 Sur la …

Conjectures and results on modular representations of for a -adic field

C Breuil, F Herzig, Y Hu, S Morra, B Schraen - arXiv preprint arXiv …, 2021 - arxiv.org
Let $ p $ be a prime number and $ K $ a finite extension of $\mathbb {Q} _p $. We state
conjectures on the smooth representations of $\mathrm {GL} _n (K) $ that occur in spaces of …

[引用][C] RÉSUMÉ DES TRAVAUX DE RECHERCHE

S Morra