We define a 3-generator algebra obtained by replacing the commutators by anticommutators in the defining relations of the angular momentum algebra. We show that integer spin representations are in one to one correspondence with those of the angular momentum algebra. The half-integer spin representations, on the other hand, split into two representations of dimension j + 1 2 . The anticommutator spin algebra is invariant under the action of the quantum group SOq(3) with q = −1.

No abstract

No abstract