165 citations · 1.5k across the 66 of their papers we have counts for
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math.QA2001★ 1 cited
Structure Theorem for Covariant Bundles on Quantum Homogeneous Spaces
Robert Oeckl
The natural generalization of the notion of bundle in quantum geometry is that of bimodule. If the base space has quantum group symmetries one is particularly interested in bimodul…
math.QA1998★ 79 cited
Twisting of quantum differentials and the Planck scale Hopf algebra
Shahn Majid, Robert Oeckl
We show that the crossed modules and bicovariant different calculi on two Hopf algebras related by a cocycle twist are in 1-1 correspondence. In particular, for quantum groups whic…
math.QA1998★ 37 cited
Classification of Differential Calculi on U_q(b+), Classical Limits, and Duality
Robert Oeckl
We give a complete classification of bicovariant first order differential calculi on the quantum enveloping algebra U_q(b+) which we view as the quantum function algebra C_q(B+). H…