The theory of algebraic groups results from the interaction of various basic techniques from field theory, multilinear algebra, commutative ring theory, algebraic geometry and general algebraic representation theory of groups and Lie algebras. It is thus an ideally suitable framework for exhibiting basic algebra in action. To do that is the principal concern of this text. Accordingly, its emphasis is on developing the major general mathematical tools used for gaining control over algebraic groups, rather than on securing the final definitive results, such as the classification of the simple groups and their irreducible representations. In the same spirit, this exposition has been made entirely self-contained; no detailed knowledge beyond the usual standard material of the first one or two years of graduate study in algebra is pre supposed. The chapter headings should be sufficient indication of the content and organisation of this book. Each chapter begins with a brief announcement of its results and ends with a few notes ranging from supplementary results, amplifications of proofs, examples and counter-examples through exercises to references. The references are intended to be merely suggestions for supplementary reading or indications of original sources, especially in cases where these might not be the expected ones. Algebraic group theory has reached a state of maturity and perfection where it may no longer be necessary to re-iterate an account of its genesis. Of the material to be presented here, including much of the basic support, the major portion is due to Claude Chevalley.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Description du livre Springer Verlag, 1981. hardcover. État : Good. First Edition. First edition, first printing with full number line. This Book is in Good Condition. Light wear to covers and edges, text is clean with no marks, binding tight. Not Ex-Library. 100% Guaranteed. N° de réf. du libraire 604874
Description du livre Springer Verlag, 1981. hardcover. État : Good. First Edition. First edition, first printing with full number line; cover faintly soiled/rubbed, corners very lightly rubbed, spine ends bumped; edges lightly soiled; textblock lightly age-toned around edges; binding tight; cover, edges, and interior intact and clean except as noted. N° de réf. du libraire 619474
Description du livre Springer, 1981. Hardcover. État : Very Good. Great condition with minimal wear, aging, or shelf wear. N° de réf. du libraire P020387905413
Description du livre Springer, 1981. Hardcover. État : Used: Good. This item is printed on demand. N° de réf. du libraire SONG0387905413