Collected Works 1997; 599 pp; hardcover Volume: 7 ISBN10: 0821805762 ISBN13: 9780821805763 List Price: US$96 Member Price: US$76.80 Order Code: CWORKS/7
 This volume is a collection of papers by Robert Steinberg. It contains all of his published papers on group theory, including those on "special representations" (now called Steinberg representations), tensor products of representations, finite reflection groups, regular elements of algebraic groups, Galois cohomology, universal extensions, etc. At the end of the book, there is a section called "Comments on the Papers". The comments by Steinberg explain how ideas and results have evolved and been used since they first appeared. Readership Graduate students and research mathematicians interested in algebraic groups and representations. Reviews "I think all readers of Steinberg's work are struck by the deep insight which the results never fail to reveal and the elegance with which they are proved."  Mathematical Reviews Table of Contents  A geometric approach to the representations of the full linear group over a Galois field
 The representations of \(GL(3,q)\), \(GL(4,q)\), \(PGL(3,q)\), and \(PGL(4,q)\)
 Prime power representations of finite linear groups
 Prime power representations of finite linear groups. II
 On the number of sides of a Petrie polygon
 Eigenvalues of the unitary part of a matrix
 Finite reflection groups
 Variations on a theme of Chevalley
 The simplicity of certain groups
 Automorphisms of finite linear groups
 Invariants of finite reflection groups
 Automorphisms of classical Lie algebras
 A general ClebschGordan theorem
 Generators for simple groups
 A closure property of sets of vectors
 Complete sets of representations of algebras
 Générateurs, relations et revêtements de groupes algébriques
 Representations of algebraic groups
 Differential equations invariant under finite reflection groups
 Regular elements of semisimple algebraic groups
 On the Galois cohomology of linear algebraic groups
 Classes of elements of semisimple algebraic groups
 Endomorphisms of linear algebraic groups
 Algebraic groups and finite groups
 Conjugacy classes
 Abstract homomorphisms of simple algebraic groups
 Torsion in reductive groups
 On a theorem of Pittie
 On the desingularization of the unipotent variety
 On theorems of LieKolchin, Borel and Lang
 Conjugacy in semisimple algebraic groups
 Kleinian singularities and unipotent elements
 Generators, relations, and coverings of algebraic groups. II
 Finite subgroups of \(SU_2\), Dynkin diagrams and affine Coxeter elements
 Some consequences of the elementary relations of \(SL_n\)
 Tensor product theorems
 On Dickson's theorem on invariants
 An occurrence of the RobinsonSchensted correspondence
 Parabolic subgroups with Abelian unipotent radical
 Nagata's example
