19 citations · 37 across the 18 of their papers we have counts for
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math.QA2016★ 2 cited
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…
math.QA2016
Noncommutative Kähler Structures on Quantum Homogeneous Spaces
Réamonn Ó Buachalla
Building on the theory of noncommutative complex structures, the notion of a noncommutative Kähler structure is introduced. In the quantum homogeneous space case many of the fundam…