Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

if I found indecomposable $K[G]$ modules, are there any techniques to get from this irreducible $K[G]$ modules?

(e.j. for $k=\mathbb{Z}/p \mathbb{Z}$ and $G=C_p$)

regards, Khanna

share|cite|improve this question
2  
The specific case you mention is easy, since any irreducible representation of a finite $p$-group over a field of characteristic $p$ is trivial (see for example Gorenstein's Finite Groups) – Tobias Kildetoft Jul 10 '12 at 10:46
    
I think what you want to do translates into "finding decomposition matrix of $KG$, and this is in general very hard for $\mathrm{char} K$ divides $|G|$, otherwise, the $KG$ is semisimple, so indecomposable and irreducible is the same. – Aaron Jul 10 '12 at 15:07

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.