David I. Stewart

The second cohomology of simple SL_2-modules

Let G be the simple, simply connected algebraic group SL_3 defined over an algebraically closed field K of characteristic p>0. In this paper, we find H^2(G,V) for any irreducible G-module V. When p>7 we also find H^2(G(q),V) for any irreducible G(q)-module V for the finite Chevalley groups G(q)=SL(3,q) where q is a power of p.

The Second Cohomology of Simple SL 3-Modules

Let G be the simple, simply connected algebraic group SL 3 defined over an algebraically closed field K of characteristic p > 0. In this article, we find H 2(G, V) for any irreducible G-module V. When p > 7, we also find H 2(G(q), V) for any irreducible G(q)-module V for the finite Chevalley groups G(q) = SL(3, q) where q is a power of p.

Rigid orbits and sheets in reductive Lie algebras over fields of prime characteristic.

Let

Maximal subalgebras of Cartan type in the exceptional Lie algebras

G

On the minimal modules for exceptional Lie algebras: Jordan blocks and stabilizers

be a simple simply-connected algebraic group over an algebraically closed field

First cohomology groups for finite groups of Lie type in defining characteristic

k

The Jacobson-Morozov theorem and complete reducibility of Lie subalgebras

of characteristic

BATCH PROCESS MONITORING THROUGH THE INTEGRATION OF SPECTRAL AND PROCESS DATA

p>0

Shifted generic cohomology

with

BOUNDING EXTENSIONS FOR FINITE GROUPS AND FROBENIUS KERNELS

\mathfrak{g}={\rm Lie}(G)