Two Exterior Algebras for orthogonal and symplectic Quantum Groups

dc.creatorSchueler, Axel
dc.date1999-06-08
dc.date.accessioned2026-07-07T05:29:24Z
dc.date.available2026-07-07T05:29:24Z
dc.descriptionLet Γbe one of the N^2-dimensional bicovariant first order differential calculi on the orthogonal or symplectic quantum group O_q(N) or Sp_q(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 w^2. Here w denotes the unique up to scalars bi-invariant 1-form. Moreover w^2 is central in U and U is an inner differential calculus.
dc.description20 pages, 10 figures, uses bbm, amsmath, mathrsfs
dc.identifierhttps://arxiv.org/abs/math/9906044
dc.identifierhttp://arxiv.org/abs/math/9906044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78625
dc.subjectQuantum Algebra
dc.titleTwo Exterior Algebras for orthogonal and symplectic Quantum Groups
dc.typetext

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