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20142021
most citedTypical representations via fixed point sets in Bruhat--Tits buildings

2 citations · 3 across the 4 of their papers we have counts for

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math.RT2021

Restricting admissible representations to fixed-point subgroups

Peter Latham, Monica Nevins

Given a -adic group equipped with an action of a finite group , and a reductive fixed-point subgroup , we establish a relationship b…

math.RT2021

Typical representations, parabolic induction and the inertial local Langlands correspondence

Peter Latham

We prove a result which provides a link between the decomposition of parabolically induced representations and the Bushnell--Kutzko theory of typical representations. As an applica…

math.RT2019★ 2 cited

Typical representations via fixed point sets in Bruhat--Tits buildings

Peter Latham, Monica Nevins

For an essentially tame supercuspidal representation of a connected reductive -adic group , we establish two distinct and complementary sufficient conditions for the irre…

math.RT2018★ 1 cited

On the unicity of types for tame toral supercuspidal representations

Peter Latham, Monica Nevins

For tame arbitrary-length toral, also called positive regular, supercuspidal representations of a simply connected and semisimple -adic group , constructed as per Adler-Yu, w…

math.RT2016

The unicity of types for depth-zero supercuspidal representations

Peter Latham

We establish the unicity of types for depth-zero supercuspidal representations of an arbitrary -adic group , showing that each depth-zero supercuspidal representation of …

math.RT2015

On the unicity of types in special linear groups

Peter Latham

Let be a non-archimedean local field. We show that any representation of a maximal compact subgroup of which is typical for an essentially tame supercuspidal…

math.RT2014

Unicity of types for supercuspidal representations of p-adic SL(2)

Peter Latham

We consider the question of unicity of types on maximal compact subgroups for supercuspidal representations of over a nonarchimedean local field of odd residual cha…