Indian reservations are sovereign nations. The laws that pertain to their own people on their reservations are internal matters. I don't even know if they are subject to judicial review by courts outside of the reservation -- I don't think they are.
It gets murkier when dealing with non-Indian visitors on reservation land. My understanding is that visitors are still subject to tribal law and tribal courts. But there is some overlap -- Navajo tribal police are also commissioned as deputy sheriffs in the several counties within which the reservation boundaries fall, and if a non-Indian either is a murder victim or is suspected of a murder on the reservation, the FBI gets involved.
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