Representations of Algebraic Groups

Part I. General theory: Schemes Group schemes and representations Induction and injective modules Cohomology Quotients and associated sheaves Factor groups Algebras of distributions Representations of finite algebraic groups Representations of Frobenius kernels Reduction mod $p$ Part II. Representations of reductive groups: Reductive group Simple $G$-modules Irreducible representations of the Frobenius kernels Kempf's vanishing theorem The Borel-Bott-Weil theorem and Weyl's character formula The linkage principle The translation functors Filtrations of Weyl modules Representations of $G_rT$ and $G_rB$ Geometric reductivity and other applications of the Steinberg modules Injective $G_r$-modules Cohomology of…