Abstract:
The restricted dual of a quantized enveloping algebra can be viewed as the algebra of functions on a quantum group. According to Woronowicz, there is a general notion of bicovariant differential calculus on such an algebra. We give a classification theorem of these calculi. The proof uses the notion (due to Reshetikhin and Semenov-Tian-Shansky) of a factorizable quasi-triangular Hopf algebra and relies on results of Joseph and Letzter. On the way, we also give a new formula for Rosso's bilinear form.
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Received: 1 December 1996 / Accepted: 29 September 1997
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Baumann, P., Schmitt, F. Classification of Bicovariant Differential Calculi on Quantum Groups (a Representation-Theoretic Approach) . Comm Math Phys 194, 71–86 (1998). https://doi.org/10.1007/s002200050349
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DOI: https://doi.org/10.1007/s002200050349