2 citations · 2 across the 2 of their papers we have counts for
3 papers
Noncommutative Complex Structures for the Full Quantum Flag Manifold of Quantum SU(3)
Alessandro Carotenuto, Réamonn Ó Buachalla, Junaid Razzaq
In recent work, Lusztig's positive root vectors (with respect to a distinguished choice of reduced decomposition of the longest element of the Weyl group) were shown to give a quan…
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…
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…