**Frobenius Splittings and B-Modules**

by Wilberd van der Kallen

**Publisher**: Springer 1993**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

**Why are Braids Orderable?**

by

**Patrick Dehornoy, at al.**

This book is an account of several quite different approaches to Artin's braid groups, involving self-distributive algebra, uniform finite trees, combinatorial group theory, mapping class groups, laminations, and hyperbolic geometry.

(

**7008**views)

**An Introduction to Group Theory: Applications to Mathematical Music Theory**

by

**Flor Aceff-Sanchez, et al.**-

**BookBoon**

In this text, a modern presentation of the fundamental notions of Group Theory is chosen, where the language of commutative diagrams and universal properties, so necessary in Modern Mathematics, in Physics and Computer Science, is introduced.

(

**5292**views)

**Groups and Semigroups: Connections and Contrasts**

by

**John Meakin**-

**University of Nebraska-Lincoln**

In the present paper, I will discuss some of these connections between group theory and semigroup theory, and I will also discuss some rather surprising contrasts between the theories. I will focus primarily on the theory of inverse semigroups.

(

**4172**views)

**Finite Group Schemes**

by

**Richard Pink**-

**ETH Zurich**

The aim of the lecture course is the classification of finite commutative group schemes over a perfect field of characteristic p, using the classical approach by contravariant Dieudonne theory. The theory is developed from scratch.

(

**4764**views)