Logo

Frobenius Splittings and B-Modules

Large book cover: Frobenius Splittings and B-Modules

Frobenius Splittings and B-Modules
by

Publisher: Springer
ISBN/ASIN: B001B1EJ4K
Number of pages: 112

Description:
The course given by the author at the Tata Institute in 1992 explains the solution by O. Mathieu of some conjectures in the representation theory of arbitrary semisimple algebraic groups. The conjectures concern filtrations of 'standard' representations; while Demazure studied the representations by means of a particular resolution of singularities of Schubert varieties, the method of Mathieu involves sheaf cohomology and 'Frobenius splittings' on a Demazure resolution in finite characteristic p.

Download or read it online for free here:
Download link
(5.1MB, PDF)

Similar books

Book cover: Group Characters, Symmetric Functions, and the Hecke AlgebraGroup Characters, Symmetric Functions, and the Hecke Algebra
by - American Mathematical Society
The book covers a set of interrelated topics, presenting a self-contained exposition of the algebra behind the Jones polynomial along with various excursions into related areas. Directed at graduate students and mathematicians.
(7083 views)
Book cover: An Introduction to the Theory of Groups of Finite OrderAn Introduction to the Theory of Groups of Finite Order
by - Oxford Clarendon Press
This book aims at introducing the reader to more advanced treatises and original papers on Groups of finite order. The subject requires for its study only an elementary knowledge of Algebra. I have tried to lighten for him the initial difficulties.
(1634 views)
Book cover: Galois Groups and Fundamental GroupsGalois Groups and Fundamental Groups
by - Cambridge University Press
This book contains eight articles which focus on presenting recently developed new aspects of the theory of Galois groups and fundamental groups, avoiding classical aspects which have already been developed at length in the standard literature.
(8567 views)
Book cover: Thin Groups and Superstrong ApproximationThin Groups and Superstrong Approximation
by - Cambridge University Press
This book focuses on recent developments concerning various quantitative aspects of thin groups. It provides a broad panorama of a very active field of mathematics at the boundary between geometry, dynamical systems, number theory, and combinatorics.
(1787 views)