On unitarizability and Arthur packets
Marko Tadic
Abstract
In the paper we begin to explore relation between the question of unitarizability of classical p-adic groups, and Arthur packets.
Table of Contents
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On unitarizability and Arthur packets
Authors
Abstract
In the paper we begin to explore relation between the question of unitarizability of classical p-adic groups, and Arthur packets.
Paper Structure
This paper contains 65 sections, 14 theorems, 150 equations.
Table of Contents
- Introduction
- Notation
- Hopf algebra for general linear groups
- Segments and corresponding irreducible subrepresentations
- Langlands classification for general linear groups
- Module and comodule structures for classical groups
- Twisted Hopf algebra
- Langlands classification for classical groups
- Duality
- Some formulas for $M^*$
- Some very simple irreducible square integrable and tempered representations of classical groups
- Jantzen lemma
- Parameters of A-packets
- A-parameters
- Another parameterisation of Jordan blocks
- ...and 50 more sections
Key Result
Theorem 1.2
Conjecture intro conj-1-intro holds if $\pi$ is an irreducible representation which is a subquotient at a critical point in corank $\leq3$, or an unramified representation, or a generic representation.
Theorems & Definitions (32)
- Conjecture 1.1
- Theorem 1.2
- Definition 2.1
- Definition 2.2
- Lemma 2.3
- Remark 2.4
- Definition 3.1
- Definition 3.2
- Definition 3.3
- Remark 3.4
- ...and 22 more