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For the 9-dimensional bicovariant differential calculi on the Hopf algebra$O(O_q(3))$ several kinds of exterior algebras are examined. The correspondingdimensions, bicovariant subbimodules and eigenvalues of the antisymmetrizer aregiven. Exactly one of the exterior algebras studied by the authors has a uniqueleft invariant form with maximal degree.Comment: 10 pages, LaTeX209, presented at the 7th Colloquium "Quantum Groups  and Integrable Systems", Prague, June 199

Exterior Algebras Related to the Quantum Group O_q(3)$