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: Elements of Group TheoryElements of Group Theory
by - arXiv
The following notes are the basis for a graduate course. They are oriented towards the application of group theory to particle physics, although some of it can be used for general quantum mechanics. They have no pretense of mathematical rigor.
(11989 views)
Book cover: Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential EquationsLectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equations
by - 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.
(8304 views)
Book cover: Finite Group SchemesFinite Group Schemes
by - 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.
(6352 views)
Book cover: Groups and Semigroups: Connections and ContrastsGroups and Semigroups: Connections and Contrasts
by - 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.
(5870 views)