On ideals defining irreducible representations of reductive 𝑝–adic groups
| Autor: | Goran Muić |
|---|---|
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Lie Groups, Number Theory, and Vertex Algebras. :119-132 |
| ISSN: | 1098-3627 0271-4132 |
| Popis: | Let $G$ be a reductive $p$--adic group. Assume that $L\subset G$ is an open--compact subgroup, and $\mathcal H_L$ is the Hecke algebra of $L$--biinivariant complex functions on $G$. It is a well--known and standard result on how to prove existence of a complex smooth irreducible $G$--module out of a maximal left ideal $I\subset \mathcal H_L$. Using theory on Bernstein center we make this construction explicit. This leads us to some very interesting questions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|