93 citations · 134 across the 18 of their papers we have counts for
6 papers · 1 filter
*-Hopf algebroids
Edwin Beggs, Xiao Han, Shahn Majid
We introduce a theory of -structures for bialgebroids and Hopf algebroids over a -algebra, defined in such a way that the relevant category of (co)modules is a bar category.…
Generally covariant quantum mechanics
Edwin Beggs, Shahn Majid
We obtain generally covariant operator-valued geodesic equations on a pseudo-Riemannian manifold as part of the construction of quantum geodesics on the algebra of diffe…
Complex structure on quantum-braided planes
Edwin Beggs, Shahn Majid
We construct a quantum Dolbeault double complex on the quantum plane . This solves the long-standing problem that the standard differential calcul…
Quantum geometric Wigner construction for and braided racks
Shahn Majid, Leo Sean McCormack
The quantum double of a finite group plays an important role in the Kitaev model for quantum computing, as well as in associated TQFT's, as a kind…
Curvature fluctuations in a baby quantum gravity model
Samuel Blitz, Shahn Majid
Understanding the microscopic behavior of spacetime is critical for developing a theory of quantum gravity and perhaps solving the cosmological constant problem. In this context, i…
Quantum Gravity: are we there yet?
Shahn Majid
The turn of the millennium was a time of optimism about an approach to noncommutative geometry inspired by rich mathematical objects called `quantum groups' and its applications to…