may be itcan be constructed for characteristic p 

Yes it is possible, but I know all about algebraic structures (groups, rings, modules) named paragraded, intoduced by M. Krasner and myself in our common monograph, and I need someone that know modular theory. You don't know ni paragraded structures nor modular theory,dear colleague Cenap Özel.

Best regards and wishes

Mirjana

 Mirjana well done u know so muchhhh

I will give u awardddd

u know everything who are we.....

u know so much so u r nothinggg u understand me dear lady

Dear Colleague Cenap Özel,

I am  sorry. You are good mathematician, but both theories (algebraic structures and modular theory) are specific and are not close to that what you do.

Mirjana

Maschke Theorem:  For linear representations of a finite group over a field of characteristic p,  if p does not divide the order of the group, then the representations are completely reducible. i. e. the representation is a direct sum of irreducible ones. ( in this case we get one-dimensional invariant sub spaces )

Also, there is  a connections with Khovanov-Lauda-Rouquier algebras and gradings on the blocks of the group algebras  for representaion of symmetric  groups. http://arxiv.org/abs/1405.3326

I think you can also find something good here: 

http://www.math.uni-muenster.de/u/pschnei/publ/lectnotes/modular-rep.pdf

thanks hanifa...

it is result of mashcke thm

Chère Prof. Murjana, je ne crois pas que ce que vous dites est dans l'ordre,  vraimant je suis très deçué. Désolée Madame pour ce comportement anormal de Vous.

Thank you very much Mme Hanifa Zekraoui for your informations.

But I'm not convinced that we mean the same things. I assume that you are not familiar with paragraded algebraic structures (groups, rings modules) as well as with modular forms.  

For now, I see the connection of paragraded structures (introduced by M. Krasner and myself)  and theory of modular form trough differential operators and quasi-modular forms, not with representation theory group.

Best regards,Mirjana

Ok madame pour votre réponse, mais je parle de la manière que vous avez répondu à notre Cher collègue Cenap Ozel. Votre réponse Ma Chère Dame est impoli, je m'excuse.

Je suis surpris de votre réponse impoli. Je vous ne peux pas dire madame, excusez moi ! Votre comportement est une question de culture! Mes réponses a colleague ( il y avait une douzaine peut-être lus) étaient très correcte et  patient. Lisez la correspondance complète,!! C'est tous avec vous pour toujours. Collectez des points de toute autre manière!

Oh ma chère Murjana vous avez allé plus loin !! Vraiment je peux maintenant avoir votre education française, la vieille education !!!