EXTERIOR ALGEBRAS RELATED TO THE QUANTUM GROUPO(Oq(3))*)

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Abstract

For the 9-dimensional bicovariant differential calculi on the quantum group 𝒪(Oq(3)) several kinds of exterior algebras are examined. The corresponding dimensions, bicovariant subbimodules and eigenvalues of the antisymmetrizer are given. Exactly one of the exterior algebras studied by the authors has a unique left invariant form with maximal degree.

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