Holly Miller, Temple University
The focus of this talk is Section 1.3 of Borel's book "Linear Algebraic Groups". Restricted Lie algebras are defined, and we give a few examples thereof. The tangent space of an algebraic group is constructed, and we show that it receives the structure of a restricted Lie algebra. After providing a few examples of the Lie algebra of an algebraic group, we conclude with a discussion on the adjoint representation.