---
date: 2022-04-24 19:41
modification date: Sunday 24th April 2022 19:41:18
title: Hecke stack
aliases:
  - Hecke stack
  - Hecke operator
  - Hecke algebra
created: 2022-04-24T19:41
updated: 2023-12-15T23:57
---
The set of Hecke operators form an algebra, which acts on a space of [automorphic forms](automorphic%20form.md). The Hecke algebra can be viewed as a certain space of endormorphisms; taking $\RHom$ instead yields the **derived Hecke algebra**. 
# Hecke Operators

![](attachments/2023-01-12heckeoperator.png)
![](attachments/2023-01-12delignehecke.png)

# Hecke stack

![](attachments/Pasted%20image%2020220424194121.png)

# Hecke operator

![](attachments/Pasted%20image%2020220424194220.png)