The barred entrance when you first come into the Serpent Temple from the back actually looks onto a hallway where the Naga roams...you can't get in through that way, of course...it's just there to tantalize you. I believe the very first time you see it, the Naga walks by and you get a snippet of narration.
From that bottom/back area, you go up several flights of steps and ramps to come to the room where Kreug is. As you enter that room, I believe the hallway bearing off to the right leads to the Library.
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