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,

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The second part of the book is devoted to the representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, the Borel-Bott-Weil theorem and Weyl’s character formula, and Schubert schemes and line bundles on them. American Mathematical Society; 2nd edition January 8, Language: Filtrations of Weyl Modules. Thank God and the AMS that this book representatons back in print, it is the sacred word for anyone in this field, and the new appendix covers many new developments since the first edition.

AmazonGlobal Ship Orders Internationally. Would you like to tell us about a lower price? Shopbop Designer Fashion Brands. Common terms and phrases affine scheme algebraic group algerbaic 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 jjantzen 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.

We are extremely lucky to have such a superb text. This is a significantly revised edition of a modern classic. Algebraic Geometry Graduate Texts in Mathematics. Account Options Sign in.

### Representations of Algebraic Groups – Jens Carsten Jantzen – Google Books

Get to Know Us. It includes topics such as the description of simple modules, vanishing theorems, the Borel-Bott-Weil theorem and Weyl’s character formula, andSchubert schemes and line bundles on them. 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 reprewentations 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” algehraic his categorical approach to algebraic geometry.

To develop appropriate techniques, the first part of the book is an introduction to the general theory of representations of grojps group schemes. Among the specific algebraic ideas considered are the concept of divisibility and the introduction of non-commutative algebras into the study yroups number theory and the emergence of algebraic geometry in the twentieth century.

Share your thoughts with other customers. Learn more about Amazon Giveaway. The book is suitable for graduate students and research mathematicians interested in algebraic groups and their representations.

There was a problem filtering reviews right now. Learn more about Amazon Prime. Now back in print by algebraicc AMS, this is a significantly revised edition of a book originally published in by Academic Press. The book is suitable for graduate students and research mathematicians interested in algebraic groups and their representations.

## Representations of Algebraic Groups

Group Schemes and Representations. Representations of Frobenius Kernels.

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The 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.

Second Edition Share this page. Amazon Second Representationz Pass it on, trade it in, give it a second life. Alexa Actionable Analytics for the Web. Co-published with the London Mathematical Society beginning with Volume 4.

The second part of the book is devoted to the representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, the Borel-Bott-Weil theorem and Weyl’s character formula, and Schubert schemes and line bundles on them. Dual Price 1 Label: Graduate students and research mathematicians interested in algebraic groups and their representations.