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: Representation Theory of Compact GroupsRepresentation Theory of Compact Groups
by - Aalto TKK
Contents: Groups (Groups without topology, Group actions and representations); Topological groups (Compact groups, Haar measure, Fourier transforms on compact groups..); Linear Lie groups (Exponential map, Lie groups and Lie algebras); Hopf algebras.
(11091 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.
(12106 views)
Book cover: Introduction to Lie Groups and Lie AlgebrasIntroduction to Lie Groups and Lie Algebras
by - SUNY at Stony Brook
The book covers the basic contemporary theory of Lie groups and Lie algebras. This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. Written in an informal style.
(14383 views)
Book cover: Group TheoryGroup Theory
by - University of Lund
The text deals with basic Group Theory and its applications. Contents: Abstract Group Theory; Theory of Group Representations; Group Theory in Quantum Mechanics; Lie Groups; Atomic Physics; The Group SU2: Isospin; The Point Groups; The Group SU3.
(16070 views)