From the AP:

ANCHORAGE, Alaska — The vice chairman of the Alaska Libertarians says his party will not consider putting U.S. Sen. Lisa Murkowski on his party’s ticket in the general election.
Harley Brown says Murkowski’s positions do not reflect the values of the Libertarian Party.
The decision was first reported by the Anchorage Daily News. Party Chairman Scott Kohlhaas (COAL-haas) said Murkowski had not approached the Libertarians, but there had been much speculation about the possibility.