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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Co-published with the London Mathematical Society beginning with Volume 4. General Theory Part I.
Representations of Algebraic Groups : Jens Carsten Jantzen :
The author has added nearly pages of new material describing later developments and has made major revisions to parts of the old text. Showing of 1 reviews. Amazon Restaurants Food delivery from local restaurants. Group Schemes and Representations. Mathematical Surveys and Monographs Volume: B Results over the Integers.
The resulting volume is essential reading for anyone interested in the history of modern mathematics in general and modern algebra in particular.
This is an authoritative [book] which, in its updated form, will continue to be the research worker’s main reference. Those familiar with [Jantzen’s previous] works will approach this new book … with eager xlgebraic. Get to Know Us. Co-published with the London Mathematical Society beginning with Volume 4. Alexa Actionable Analytics for the Web.
Customers who bought this item griups bought. Table of Contents Representations of Algebraic Groups: Mathematical Surveys and Monographs.
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. Intersection Theory, 2nd Edition.
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Algebra, as a subdiscipline of mathematics, arguably has a history going back some years to jantzeen Mesopotamia. American Mathematical Society; 2nd edition January 8, Language: Very readable … meant to give its reader an algebrqic to the representation theory of reductive algebraic groups …. Janhzen on the AMS Bookstore is limited to individuals for personal use only. Induction and Injective Modules. Irreducible Representations of the Frobenius Kernels.
It continues to be the ultimate source of information on representations of algebraic groups in finite characteristics. To algebgaic appropriate techniques, the first part of the book is an introduction to the general theory of representations of algebraic group schemes.
Print Price 2 Label: They will not be disappointed, as the high standard of the earlier works is not only maintained but exceeded 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.
Publication Month and Year: To develop appropriate techniques, the first part of the Filtrations of Weyl Modules. Libraries and resellers, please contact cust-serv ams.
He also made major revisions to parts of the old text. Cohomology of the Frobenius Kernels.
Learn more about Amazon Prime. 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.
Representations of Algebraic Groups: Second Edition
It is suitable forgraduate students and research mathematicians interested in algebraic groups and their representations.
Common terms and phrases affine scheme algebraic group algebraically closed Andersen apply assume assumption bijection canonical map chapter char k cohomology algsbraic 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 Grooups 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 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.
Line Bundles on Schubert Schemes. 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.
Get fast, free shipping representatilns Amazon Prime. Group and Representation Theory. Print Price 3 Label: Would you like to tell us about a lower price? Explore the Home Gift Guide. The author has added nearly pages of new material describing later developments and has made major revisions to parts of the old text.