Advaitins mostly believe that the Self doesn't transmigrate and that it's the subtle body (known as jiva/jivatma) that actually does. But then in Shankara's Gita bhasya it is mentioned that the self changes bodies like we change garments. Below is a translation of Bhagavad Gita 2.22 (the original text can be seen here):
- Just as a man casts off worn-out clothes and puts on others which are new, so the embodied (Self) casts off worn-out bodies and enters others which are new.
Here is Adi Shankara's commentary (translated by Alladi Mahadeva Shastri):
Just as, in this world, a man casts off the clothes that have been worn-out and puts on others which are new, in the same manner, like the man (of the world), the embodied Self abandons old bodies, and, without undergoing any change, enters others which are new.
Here's a diagram of the Self dwelling in the innermost region. Is this what Shankara meant in his verse, that this in-dwelling Self travels along with the five sheaths? Or did he mean something else?