Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Let G=Sp(2m,2) be a finite symplectic group acting on $F_2^{2m}$. This group G acts 2-transitively on $\Omega_{+}$ and on $\Omega_{-}$. Let $F$ be an algebraic closure of $F_2$. I am interested to know what are all $G$- invariant sub-spaces of $F^{\Omega_{+}}$ and ${F} ^{\Omega_{-}}$. Does anyone know good reference where this is calculated?

share|improve this question
    
I did a little editing but the question needs more editing as well as an explanation of all the symbols used. What is the field here? Is the question about a finite group, an algebraic group, or a Lie group? There is a lot of literature relevant to actions and representations of symplectic groups over various fields, but the question needs to be stated precisely. –  Jim Humphreys Feb 7 '12 at 20:42
    
Here $G$ is a finite syplectic group acting on $F_2^{2m}$. –  Klim Efremenko Feb 7 '12 at 21:28
    
As far I understand finite symplectic group acts two transitively only over $F_2$ and it have two sets on which it acts two transitively. –  Klim Efremenko Feb 7 '12 at 21:36
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.