The Langlands Programs
Computational tools for representation theory and the Langlands program. Explore concepts in representation theory without writing a single line of code.
Available Tools
Theta Lifts
Compute theta lifts of representations in specified tower directions and ranges.
→Non-Archimedean Local A-Packets
Calculate Arthur packets for unipotent A-parameters and explore their structure.
→Green's Character Table
Compute character values for representations of using Green's formula.
→Aubert-Zelevinsky Dual
Calculate the Aubert-Zelevinsky dual of representations for classical groups.
→Why Use These Tools?
No Installation Required
Access all tools directly through your browser - no downloads, no setup, no hassle.
No Coding Experience Needed
Simple, intuitive interfaces.
Built for Research
Tools grounded in decades of work in representation theory and the Langlands program.
About This Project
The Langlands program connects fundamental areas of mathematics-number theory, representation theory, and harmonic analysis. While the theoretical framework is elegant and powerful, working with concrete examples often requires intensive computation.
These tools bridge the gap between abstract theory and computational practice. Whether you're exploring Arthur packets, computing character tables, or investigating theta correspondences, our web-based calculators make these computations accessible to researchers at all levels.
Each tool is designed with simplicity in mind: enter your parameters, click compute, and explore the results. No programming required, no installation needed. You can just focus on the mathematics.