Algebraic Groups and their Representations

Preface. Introduction. Linear and Nonlinear Group Actions, and the Newton Institute Program; L.L. Scott. Tilting Modules for Algebraic Groups; H.H. Andersen. Semisimplicity in Positive Characteristic; G.J. McNinch. Homology Bases Arising from Reductive Groups over a Finite Field; G. Lusztig. Highest Weight Modules Associated to Parabolic Subgroups with Commutative Unipotent Radicals; T. Tanisaki. Symmetric Groups and Schur Algebras; G. James. Branching Rules for Symmetric Groups and Applications; A.S. Kleshchev. Endomorphism Algebras and Representation Theory; E. Cline, et al. Representations of Simple Lie Algebras: Modern Variations on a Classical Theme; R.W. Carter. The Path Model, the Quantum Frobenius Map and Standard Monomial Theory; P. Littelmann. Arithmetical Properties of Blocks; G.R. Robinson. The Isomorphism and Isogeny Theorems for Reductive Algebraic Groups; R. Steinberg. Double Cosets in Algebraic Groups; G.M. Seitz. Dense Orbits and Double Cosets; J. Brundan. Subgroups of Exceptional Groups; M.W. Liebeck. Overgroups of Special Elements in Simple Algebraic Groups and Finite Groups of Lie Type; J. Saxl. Some Applications of Subgroup Structure to Probabilistic Generation and Covers of Curves; R.M. Guralnick. Quasithin Groups; M. Aschbacher. Tame Groups of Odd and Even Type; A.V. Borovik. Index.