Is it permissible to recite the Qur’an for the deceased and dedicate its reward to them, and is it permissible to recite Al-Fatihah for their soul, and what is the evidence for that?

The reward for reciting the Qur’an reaches the deceased if the reciter dedicates it to them, based on the general evidence that the reward for good deeds reaches the deceased, and because whoever performs an act owns its reward and can dedicate it to another. As for the hadith: "When a person dies, his deeds come to an end except for three things," what is meant is the cessation of the reward for his own deeds, not the deeds of others. As for hiring a reciter to recite at the deceased's place or in the mourning hall, it is an innovation (bid'ah) for which there is a concern that its reward may not reach the deceased, and its doer incurs sin.