Typical representations via fixed point sets in Bruhat–Tits buildings

DOI10.1090/ert/590zbMath1496.22009arXiv1909.05895OpenAlexW2972323289MaRDI QIDQ5020289

Publication date: 5 January 2022

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05895

zbMATH Keywords

branching rules Bruhat-Tits buildings p-adic groups tame representations theory of types

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50) Groups with a (BN)-pair; buildings (20E42)

Related Items (1)

Restricting admissible representations to fixed-point subgroups

Cites Work

Typical representations for level zero Bernstein components of $\mathrm{GL}_{n}(F)$
Branching rules for supercuspidal representations of $\mathrm{SL}_2(k)$, for $k$ a $p$-adic field
On branching rules of depth-zero representations
On the Moy-Prasad filtration
Unicity of types for supercuspidal representations of $p$-adic $\mathbf{SL}_{2}$
Twisted loop groups and their affine flag varieties. With an appendix by T. Haines and M. Rapoport.
Refined anisotropic $K$-types and supercuspidal representations
Construction of tame types
Some properties of covering pairs
Semisimple characters for $p$-adic classical groups
On the unicity of types in special linear groups
Jacquet functors and unrefined minimal $K$-types
Types for tame $p$-adic groups
On the unicity of types for toral supercuspidal representations
On classification of typical representations for $\mathrm{GL}_{3}(F)$
The supercuspidal representations of $p$-adic classical groups
The restriction of a representation of GL$_2(k)$ to GL$_0(0)$
Reductive groups over a local field
Construction of tame supercuspidal representations
The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
Supercuspidal representations: An exhaustion theorem
REPRÉSENTATIONS LISSES DE $\mathrm{GL}_{m}(\mathrm{D})$ IV : REPRÉSENTATIONS SUPERCUSPIDALES
Distinguished Tame Supercuspidal Representations
Abelian Galois cohomology of reductive groups
Néron Models
Mackey's Theorem for Nonunitary Representations
Smooth representations of reductive p -ADIC groups: structure theory via types
The unicity of types for depth-zero supercuspidal representations
Constructing tame supercuspidal representations
Regular supercuspidal representations
Characters and growth of admissible representations of reductive p-adic groups
Unicity of types for supercuspidal representations of $ {\rm GL}_N$
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item

This page was built for publication: Typical representations via fixed point sets in Bruhat–Tits buildings