SDCL § 23-24B-3.1: Extradition or prosecution of state charges against fugitive Indian.

If a criminal prosecution has been instituted under the laws of this state against a person demanded by a tribe for extradition, and the prosecution is still pending, the attorney general, in his discretion, may either commence extradition proceedings on tribal demand or hold him until he has been tried and discharged or convicted and punished in this state.