What are the representations of women in Dubliners?
Concerning Joyce's Dubliners, your question is too broad to be answered with much specific detail. This short story collection features numerous stories and is a major work. You're asking for too much territory to be covered with specifics.
In general, women is these stories are much like the men: figuratively frozen and paralyzed. Paralyzed by the past, by their present situations, by the church, by Ireland itself.
In "Eveline," for instance, the title character is frozen between responsibility and freedom, between taking care of her younger brother and abusive father and a new life in Argentina.
In "The Dead," Gretta is paralyzed by her past, by the dead.
In "The Sisters," the sisters are paralyzed by superstition and their Catholic beliefs.
In "Araby," Mangan's sister is pedestalized by a young boy, and she represents that which paralyzes the young boy, at least in part.
The above is, figuratively, just scratching the surface, but it should get you started and give you a direction to follow in your research.