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 ...

IN recent years great advances have been made in our knowledge of the fundamental structures of analysis, particularly of algebra and topology, and an exposition of Lie groups from the modern point of ...

In mathematics, ubiquitous objects called groups display nearly magical powers. Though they’re defined by just a few rules, groups help illuminate an astonishing range of mysteries. They can tell you ...