11 citations · 23 across the 8 of their papers we have counts for
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math.QA2021★ 2 cited
Principal Pairs of Quantum Homogeneous Spaces
Alessandro Carotenuto, Réamonn Ó Buachalla
We propose a simple but effective framework for producing examples of covariant faithfully flat (generalised) Hopf-Galois extensions from a nested pair of quantum homogeneous space…
math.QA2021
A Borel-Weil theorem for the irreducible quantum flag manifolds
Alessandro Carotenuto, Fredy Díaz García, Réamonn Ó Buachalla
We establish a noncommutative generalisation of the Borel-Weil theorem for the Heckenberger-Kolb calculi of the irreducible quantum flag manifolds , generalis…