About LieVis

This collection of visualisations is a work-in-progress on making concepts from representation theory more visible and understandable. It is my hope that this will be a valuable teaching and learning aid, as well as spark new ideas for other pictures/drawings/etc that could be done. Being able to play with so much data interactively may even lead to novel new observations, or old observations which are hard to come by.

I think that interactivity is one of the best ways of building intuition about a problem or a mathematical concept. For example, being able to tweak parameters in a graph and see how the graph changes in real time is a fantastic way of building a mental model about how a class of graphs looks. However, this kind of interactivity has been lacking for other mathematical concepts such as representation theory – most of the software tools I know of have a very long feedback loop involving typing a question into a console, and even after that the user has to take a lot of steps to render that answer in any visual way.

Get in contact

If you have found this site helpful and have any corrections or suggestions to make, please get in contact with me! My email address is my first name @ this domain.