**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

**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.

(

**10015**views)

**Galois Groups and Fundamental Groups**

by

**David Meredith**-

**San Francisco State University**

This course brings together two areas of mathematics that each concern symmetry -- symmetry in algebra, in the case of Galois theory; and symmetry in geometry, in the case of fundamental groups. Prerequisites are courses in algebra and analysis.

(

**8942**views)

**Group theory for Maths, Physics and Chemistry**

by

**Arjeh Cohen, Rosane Ushirobira, Jan Draisma**

Symmetry plays an important role in chemistry and physics. Group captures the symmetry in a very efficient manner. We focus on abstract group theory, deal with representations of groups, and deal with some applications in chemistry and physics.

(

**12088**views)

**Group Theory: Birdtracks, Lie's, and Exceptional Groups**

by

**Predrag Cvitanovic**-

**Princeton University Press**

A book on the theory of Lie groups for researchers and graduate students in theoretical physics and mathematics. It answers what Lie groups preserve trilinear, quadrilinear, and higher order invariants. Written in a lively and personable style.

(

**13164**views)