Atlas of Lie Groups

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Documentation

Overview

Getting Started

Download & Install
Linux / Solaris
macOS
Windows
Run Atlas
Help with Git

Tutorial

Preliminaries
Getting Started
Help Files
Basic Commands
Vectors
Matrices
Functions & Loops
Local Variables
Structure Theory
Root Data & Lie Types
Real Groups
Atlas Coordinates
Cartan Subgroups
Real Forms
Coordinates & Characters
Parameters
Parameters for Real Tori
Character Differential
First Examples
SL(2,R)
Sp(4,R)
SO(3,2)
More Parameters
Blocks
K Orbits on G/B
Discrete Series
General Parameters
Parabolic Induction

Language Reference

Axis Language
Built-in Functions

Script Files

All Script Files

Tutorial

General Parameters

Introduction
- Composition series and character formulas
Principal Series and Discrete Series revisited
General Parameters \(Sp(4,\mathbb R )\)
- Cuspidal Data

Maintained by Jeffrey Adams · University of Maryland, Department of Mathematics

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