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

Parabolic Induction

Real Parabolic Induction
- Defining a Real Parabolic Subgroup
- Real Induction
Cohomological Parabolic Induction
- Defining a \(\theta\)-Stable Parabolic Subalgebra
- Theta-Stable Induction
\(A_{\mathfrak q}(\lambda)\) Construction

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

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