2 citations · 4 across the 3 of their papers we have counts for
3 papers
A Dolbeault-Dirac Spectral Triple for the -Irreducible Quantum Flag Manifold
Fredy Díaz García, Réamonn Ó Buachalla, Elmar Wagner
The quantum version of the Bernstein-Gelfand-Gelfand resolution is used to construct a Dolbeault-Dirac operator on the anti-holomorphic forms of the Heckenberger-Kolb calculus for…
Compact Quantum Homogeneous Kähler Spaces
Biswarup Das, Réamonn Ó Buachalla, Petr Somberg
Noncommutative Kähler structures were recently introduced as an algebraic framework for studying noncommutative complex geometry on quantum homogeneous spaces. In this paper, we in…
A Borel-Weil Theorem for the Quantum Grassmannians
Alessandro Carotenuto, Colin Mrozinski, Réamonn Ó Buachalla
We establish a noncommutative generalisation of the Borel-Weil theorem for the Heckenberger-Kolb calculi of the quantum Grassmannians. The result is formulated in the framework of…