Classification of Bicovariant Differential Calculi on Quantum Groups (a Representation-Theoretic Approach)
- Cite this article as:
- Baumann, P. & Schmitt, F. Comm Math Phys (1998) 194: 71. doi:10.1007/s002200050349
- 45 Downloads
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.