Two Exterior Algebras for orthogonal and symplectic Quantum Groups
Abstract
Let be one of the N2-dimensional bicovariant first order differential calculi on the orthogonal or symplectic quantum group Oq(N) or Spq(N). The parameter q is not a root of unity. We show that the second antisymmetrizer exterior algebra is the quotient of the universal exterior algebra U by the principal ideal generated by w2. Here w denotes the unique up to scalars bi-invariant 1-form. Moreover w2 is central in U and U is an inner differential calculus.
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