Another home page for the level one algebraic cusp forms of classical groups

Discrete series multiplicities for classical groups over Z and level 1 algebraic cusp forms

By Gaëtan Chenevier and Olivier Taïbi

This website is a companion to the paper Discrete series multiplicities for classical groups over Z and level 1 algebraic cusp forms by the authors.

You will find below some tables containing all informations in motivic weight ≤ 30. See here for the source code and data, including larger tables (readme).

1. Masses

2. Elliptic terms

3. Euler-Poincaré characteristics

4. Self-dual level 1 regular algebraic cuspidal automorphic representations of GL(N)

5. Level 1 vector-valued Siegel modular cuspforms

Some non-existence results for level 1 selfdual regular algebraic cuspidal automorphic representations of GL(N) obtained with the explicit formula for Rankin-Selberg L-functions:

1. Non-existence using only the basic inequality

2. Non-existence using the 27 known representations of motivic weight <= 24