What are the permissible times for reciting the Holy Quran, and is it true that it is not permissible to recite it after Fajr prayer until the sun rises, due to the impossibility of prostrating during this time?

It is permissible for a Muslim to recite the Quran in all states except when in a state of major ritual impurity (janabah), as scholars have unanimously agreed on the prohibition of reciting the Quran for someone who is ritually impure. As for the prohibition of prayer at specific times, it does not include reciting the Quran; rather, it is recommended to engage in remembrance (dhikr) and Quran recitation after Fajr prayer. The prostration of recitation (sujud al-tilawah) is not considered a prayer, so it does not require the conditions of prayer such as purity, covering the 'awrah, or facing the qiblah. It is permissible to perform it even if one is in a state of minor ritual impurity (hadath asghar). Therefore, it is permissible to recite the Quran after Fajr and 'Asr prayers, and the prostration of recitation is legislated during these times, even if the reciter is not in a state of ablution (wudu').