Algebraic groups and Lie algebras form a fundamental cornerstone in contemporary mathematics, intertwining the geometric framework of algebraic varieties with the analytic structure of continuous ...

Group gradings provide a powerful framework for decomposing algebraic structures into subspaces that are systematically indexed by a group. In the context of Lie algebras, which play a central role in ...

To begin to understand what mathematicians and physicists see in the abstract structures of symmetries, let’s start with a familiar shape. We are fond of saying things are symmetric, but what does ...