Abstract
Let F be any non-Archimedean local field with residue field of
cardinality
Acknowledgements
This article is based on Chapters 4 and 5 of my Orsay thesis. I would like to thank my thesis advisor Guy Henniart for suggesting this problem and numerous discussions. I thank Corinne Blondel for pointing out several corrections and improvements in my thesis. I want to thank Shaun Stevens for his interest in this work. I thank the anonymous referee for helpful suggestions.
References
[1] J. N. Bernstein, Le “centre” de Bernstein, Representations of Reductive Groups over a Local Field, Trav. Cours, Hermann, Paris (1984), 1–32. Search in Google Scholar
[2]
C. Breuil and A. Mézard,
Multiplicités modulaires et représentations de
[3]
C. J. Bushnell and G. Henniart,
Intertwining of simple characters in
[4]
C. J. Bushnell and P. C. Kutzko,
The Admissible Dual of
[5] C. J. Bushnell and P. C. Kutzko, Smooth representations of reductive p-adic groups: Structure theory via types, Proc. Lond. Math. Soc. (3) 77 (1998), no. 3, 582–634. 10.1112/S0024611598000574Search in Google Scholar
[6]
C. J. Bushnell and P. C. Kutzko,
Semisimple types in
[7]
W. Casselman,
The restriction of a representation of
[8] M. Emerton and T. Gee, A geometric perspective on the Breuil–Mézard conjecture, J. Inst. Math. Jussieu 13 (2014), no. 1, 183–223. 10.1017/S147474801300011XSearch in Google Scholar
[9]
R. E. Howe,
On the principal series of
[10]
P. Latham,
Unicity of types for supercuspidal representations of p-adic
[11] P. Latham, The unicity of types for depth-zero supercuspidal representations, Represent. Theory 21 (2017), 590–610. 10.1090/ert/511Search in Google Scholar
[12] P. Latham, On the unicity of types in special linear groups, Manuscripta Math. 157 (2018), no. 3–4, 445–465. 10.1007/s00229-018-1006-3Search in Google Scholar
[13] P. Latham and M. Nevins, On the unicity of types for tame toral supercuspidal representations, preprint (2018), https://arxiv.org/abs/1801.06721. Search in Google Scholar
[14]
S. Nadimpalli,
Typical representations for level zero Bernstein components of
[15]
V. Paskunas,
Unicity of types for supercuspidal representations of
[16] A. Roche, Types and Hecke algebras for principal series representations of split reductive p-adic groups, Ann. Sci. Éc. Norm. Supér. (4) 31 (1998), no. 3, 361–413. 10.1016/S0012-9593(98)80139-0Search in Google Scholar
[17] P. Schneider and E.-W. Zink, K-types for the tempered components of a p-adic general linear group, J. Reine Angew. Math. 517 (1999), 161–208. 10.1515/crll.1999.092Search in Google Scholar
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Articles in the same Issue
- Frontmatter
- Characteristic functions of semigroups in semi-simple Lie groups
- Damping estimates for oscillatory integral operators with real-analytic phases and its applications
- Formality properties of finitely generated groups and Lie algebras
- Toric actions in cosymplectic geometry
- On classification of typical representations for GL3(F)
- Integrable generators of Lie algebras of vector fields on ℂn
- Expanding phenomena over matrix rings
- On sup-norm bounds part II: GL(2) Eisenstein series
- Sublinear elliptic problems under radiality. Harmonic NA groups and Euclidean spaces
- Partial and full boundary regularity for non-autonomous functionals with Φ-growth conditions
- Radial averaging operator acting on Bergman and Lebesgue spaces
- The 𝑝-adic variation of the Gross–Kohnen–Zagier theorem