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You can buy yourself a LM7815 and LM7915.
The 7815 is a positive 15v regulator and the 7915 is a negative 15v regulator. It will "create" and regulate the negative voltage from a positive source.
You have an adjustable supply, so start by dialing it down to about 18v. This will keep down the heat dissipated in the regulators.
If voltage divider looks ok to everyone, how do i build a more elegant version?
Just 2 resistors in series is very old idea.
It may have loading effects.
Any commonly used transistors, ICs, capacitors etc i might use to implement it?
Would something like this work?
This is just a concept so don't yell.