By combining the language of groups with that of geometry and linear algebra, Marius Sophus Lie created one of math’s most ...

A bit over two years ago, news sources and science blogs lit up when a pre-print paper from Dr. A. Garrett Lisi came to light that proposed a novel theory of everything—one theory that accurately ...

Modern physics began with a sweeping unification: in 1687 Isaac Newton showed that the disparate theories describing everything from planetary motion to tides to pendulums were all aspects of a ...

Lie groups, as continuous groups endowed with differentiable structure, provide a powerful framework to study symmetries across mathematics and physics. Their associated representation theory offers ...