Back in print from the AMS, the first part of this book is an introduction to the general theory of representations of algebraic group schemes. Here, Janzten. Now back in print by the AMS, this is a significantly revised edition of a book originally published in by Academic Press. This book gives the reader an. Donkin, Stephen. Review: Jens Carsten Jantzen, Representations of algebraic groups. Bull. Amer. Math. Soc. (N.S.) 20 (), no. 2,
|Published (Last):||14 February 2010|
|PDF File Size:||2.53 Mb|
|ePub File Size:||6.21 Mb|
|Price:||Free* [*Free Regsitration Required]|
Here, Janzten describes important basic notions: Get fast, free shipping with Amazon Prime. B Results over the Integers. The present volume provides a glimpse into the complicated and often convoluted history of this latter conception of algebra by juxtaposing twelve episodes in the evolution of modern algebra from the early nineteenth-century work of Charles Babbage on functional equations to Alexandre Grothendieck’s mid-twentieth-century metaphor of a “”rising sea”” in his categorical approach to algebraic geometry.
Learn more about Amazon Giveaway. Common terms and phrases affine scheme algebraic group algebraically closed Andersen apply assume assumption bijection canonical map chapter char k cohomology commutative composition factor Consider define denote derived functors direct sum direct summand Dist G Enda equal FA Q faisceau field finite dimensional G-module flat Frobenius endomorphism Frobenius splitting functor Furthermore G-module G-submodule generalise group scheme hence highest weight Homo homomorphism ideal identify implies indecomposable induces an isomorphism injective hull isomorphism Jantzen k-algebra k-group kernel Lemma Let G Lie G morphism multiplication non-zero notation obviously polynomial projective Proof Proposition proved Remark resp restriction semi-simple sheaf short exact sequence simple modules socG socle spectral sequence subfunctor subgroup scheme submodule subset Suppose surjective theorem tilting module trivial u e X T unique vector space Xe X T yields.
The second part of the book is devoted to the representation theory of reductive algebraic groups. Amazon Advertising Find, attract, and engage customers.
The history, however, of what is recognized today as high school algebra is much shorter, extending back to the sixteenth century, while the history of what practicing mathematicians call “modern algebra” is even shorter still. The present volume provides a glimpse into the complicated and often convoluted history of this latter conception of algebra by juxtaposing twelve episodes in the evolution of modern algebra from the early nineteenth-century work of Charles Babbage on functional equations to Alexandre Grothendieck’s mid-twentieth-century metaphor of a “rising sea” in his categorical approach to algebraic geometry.
Get to Know Us. Among the specific algebraic ideas considered are the concept of divisibility and the introduction of non-commutative algebras into the study of number theory and the emergence of algebraic geometry in the twentieth century. Table of Contents Representations of Algebraic Groups: Selected pages Title Page.
Withoutabox Submit to Film Festivals. Induction and Injective Modules.
Representations of Algebraic Groups – Jens Carsten Jantzen – Google Books
Review This is an authoritative [book] which, in its updated form, will continue to be the research worker’s main reference. Representations of Algebraic Groups Issue of Mathematical surveys and monographs.
Explore the Home Gift Guide. Print Price reoresentations Label: Jantzen’s book continues to be the ultimate source of information on representations of algebraic groups in finite characteristics. Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. It is suitable forgraduate students and research mathematicians interested in algebraic groups and their representations.
General Theory Index Index. Representations of algebraic groups No preview available – Algebraif Rapids Fun stories for kids on the go.
The book is suitable for graduate students and research mathematicians interested in algebraic groups and their representations. My library Help Advanced Book Search.
Representations of Algebraic Groups
Co-published with the London Mathematical Society beginning with Volume 4. My library Help Advanced Book Search. A Truncated Categories and Schur Algebras. Would you like to tell us about a lower price? Set up a giveaway.
Representations of Algebraic Groups : Jens Carsten Jantzen :
For this revised edition the author added nearly pages of new material describing some later developments, among them Schur algebras, Lusztig’s conjecture and Kazhdan-Lusztig polynomials, tilting modules, and representations of quantum groups. Account Options Sign in. Those familiar with [Jantzen’s previous] works will approach this new book … with eager anticipation. Amazon Drive Cloud storage from Amazon. General Theory Part I. This book gives the reader algbraic introduction to the theory of algebraic representations of reductive algebraic groups.
Aarhus University, Aarhus, Denmark. Mathematical Surveys and Monographs Volume: Author s Product display: It rrepresentations be of particular interest to mathematicians and historians of mathematics. Irreducible Representations of the Frobenius Kernels. Representations of Gr T and Gr B. From a practical point of view, the scheme adopted of adding new material in the final chapters and keeping the structure of the rest of the book largely unchanged is extremely convenient for all those familiar with the first edition.
Oof discussion is well motivated throughout … This impressive and wide ranging volume will be extremely useful to workers in the theory of algebraic groups … a readable and scholarly book. The discussion is well motivated throughout To develop appropriate techniques, the first part of the book is an introduction to the general theory of representations of algebraic group schemes. The book is suitable for graduate students and grohps mathematicians interested in algebraic groups and their representations.
Very readable … meant to give its reader an introduction to the representation theory of reductive algebraic groups … — Zentralblatt MATH Those familiar with [Jantzen’s previous] works will approach this new book … with eager anticipation.
We are extremely lucky to have such a superb text. Lusztigs Conjecture and Some Consequences. The author has added nearly pages of new material describing later developments and has made major revisions to parts of the old text.
This is a significantly revised edition of a modern classic. Mathematical Surveys and Monographs Book Represrntations