Beschreibung
"[The first] ten chapters.are an efficient, accessible, and self-contained introduction to affine algebraic groups over an algebraically closed field. The author includes exercises and the book is certainly usable by graduate students as a text or for self-study.the author [has a] student-friendly style [The following] seven chapters. would also be a good introduction to rationality issues for algebraic groups. A number of results from the literatureappear for the first time in a text." Mathematical Reviews (Review of the Second Edition)
Inhaltsverzeichnis
Preface to the Second Edition.- Some Algebraic Geometry.- Linear Algebraic Groups, First Properties.- Commutative Algebraic Groups.- Derivations, Differentials, Lie Algebras.- Topological Properties of Morphisms, Applications.- Parabolic Subgroups, Borel Subgroups, Solvable Groups.- Weyl Group, Roots, Root Datum.- Reductive Groups.- The Isomorphism Theorem.- The Existence Theorem.- More Algebraic Geometry.- F-groups: General Results.- F-tori.- Solvable F-groups.- F-reductive Groups.- Reductive F-groups.- Classification.- Table of Indices.- Bibliography.- Index.
Herstellerkennzeichnung:
Springer Basel AG in Springer Science + Business Media
Heidelberger Platz 3
14197 Berlin
DE
E-Mail: juergen.hartmann@springer.com
