Robert Steinberg Collected Papers

Inbunden, Engelska, 1997

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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.

Produktinformation

Utgivningsdatum1997-06-01
Vikt1 340 g
FormatInbunden
SpråkEngelska
SerieCollected Works
FörlagAmerican Mathematical Society
MedarbetareSerre,Jean-Pierre
ISBN9780821805763

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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 Clebsch-Gordan theorem Generators for simple groups A closure property of sets of vectors Complete sets of representations of algebras Generateurs, relations et revetements de groupes algebriques 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 Lie-Kolchin, 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 Robinson-Schensted correspondence Parabolic subgroups with Abelian unipotent radical Nagata's example.