Universal module in characteristic \(l>0\) associated to a character of the Hecke algebra of \(\text{GL}(n)\) over a \(p\)-adic field with \(l\neq p\)

DOI10.1006/jabr.1998.7641zbMath0920.22010OpenAlexW2036616423MaRDI QIDQ1283655

Xavier Lazarus

Publication date: 9 September 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7641

zbMATH Keywords

characterHecke algebrauniversal moduleprincipal series representationJordan-Hölder sequence

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (4)

FURTHER RESULTS ON MONOIDS ACTING ON TREES ⋮ Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras. ⋮ Freeness of spherical Hecke modules of unramified \(U(2,1)\) in characteristic \(p\) ⋮ The universal unramified module for \(\mathrm{GL}(n)\) and the Ihara conjecture

Cites Work

• Fonctions élémentaires et lemme fondamental pour le changement de base stable. (Elementary functions and fundamental lemma for stable base change)
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• The cohomology of \(p\)-adic symmetric spaces
• Two letters on quaternions and modular forms \(\pmod p\) (with an introduction, appendix and references by R. Livné)
• Modular representations of \(GL_ 2\) of a local field: The ordinary, unramified case
• \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
• Reductive groups over a local field
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Induced representations of reductive ${\germ p}$-adic groups. I
• Types et inductions pour les représentations modulaires des groupes p-adiques
• Differential Equations Invariant Under Finite Reflection Groups
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