**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

**Notes on Categories and Groupoids**

by

**P. J. Higgins**-

**Van Nostrand Reinhold**

A self-contained account of the elementary theory of groupoids and some of its uses in group theory and topology. Category theory appears as a secondary topic whenever it is relevant to the main issue, and its treatment is by no means systematic.

(

**11258**views)

**Lectures on Topics In The Theory of Infinite Groups**

by

**B.H. Neumann**-

**Tata Institute of Fundamental Research**

As the title suggests, the aim was not a systematic treatment of infinite groups. Instead the author tried to present some of the methods and results that are new and look promising, and that have not yet found their way into the books.

(

**6438**views)

**Theory and Applications of Finite Groups**

by

**G. A. Miller, H. F. Blichfeldt, L. E. Dickson**-

**J. Wiley**

The book presents in a unified manner the more fundamental aspects of finite groups and their applications, and at the same time preserves the advantage which arises when each branch of an extensive subject is written by a specialist in that branch.

(

**4954**views)

**Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equations**

by

**K. Yosida**-

**Tata Institute of Fundamental Research**

In these lectures, we shall be concerned with the differentiability and the representation of one-parameter semi-groups of bounded linear operators on a Banach space and their applications to the initial value problem for differential equations.

(

**8474**views)