By William Fulton, Joe Harris

The first aim of those lectures is to introduce the newbie to the finite-dimensional representations of Lie teams and Lie algebras. meant to serve non-specialists, the focus of the textual content is on examples. the overall conception is constructed sparingly, after which in most cases as an invaluable and unifying language to explain phenomena already encountered in concrete instances. The booklet starts with a quick journey via illustration conception of finite teams, with emphasis decided via what's beneficial for Lie teams; particularly, the symmetric teams are taken care of in a few element. the focal point then turns to Lie teams and Lie Algebras and at last to the guts of the path: understanding the finite dimensional representations of the classical teams and exploring the comparable geometry. The aim of the final element of the booklet is to make a bridge among the example-oriented procedure of the sooner components and the final conception.