Lie superalgebras

Project level: Masters, Honours

Lie algebras, Lie groups, and their representation theories are instrumental in our description of symmetries in physics and elsewhere. They also occupy a central place in pure mathematics where they often provide a bridge between different mathematical structures. Motivated in part by the proposed fundamental role played by supersymmetry in theoretical physics, Lie superalgebras have been introduced as the corresponding generalisations of Lie algebras. The aim of this project is to study Lie superalgebras, their rich representation theory, and some of their applications.