IN many texts, God's shem is an embodiment of Himself outside Himself. This never becomes independent of Him, but is distinct form of Him. There is a degree of separate identity though.
Another aspect is that it has also be associated with activity and feelings.Ex 23:20 Behold, I send an Angel before thee, to keep thee in the way, and to bring thee into the place which I have prepared. 21 Beware of him, and obey his voice, provoke him not; for he will not pardon your transgressions: for my name [shem] is in him.
What is interesting is that God has requested that we are to set up altars where ever "shem" is manifested.Is 30:27 Behold, the name [shem] of the LORD cometh from far, burning with his anger, and the burden thereof is heavy: his lips are full of indignation, and his tongue as a devouring fire:
Ex 20:24 An altar of earth thou shalt make unto me, and shalt sacrifice thereon thy burnt offerings, and thy peace offerings, thy sheep, and thine oxen: in all places where I record my name [shem] I will come unto thee, and I will bless thee.