General Description of the Course

The theory of superalgebras is a domain of algebra which emerged after the discovery of supersymmetry by physicists around the 1970's. In particular, the theory of Lie superalgebras, which is an extension of the theory of Lie algebras, can be invoked in the study of the two general classes of elementary particles, known as bosons and fermions.

This course intends to exhibit a systematic study of superalgebra and supergeometry. There are many parallels between the superized theory and the classical subject of Lie algebras and Lie groups, but there are also several significant and interesting points of diversion.

Course Texts

The lectures are essentially based on the following texts: