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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…
math.QA2021
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…