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math.QA2022
A remark on the Hochschild dimension of liberated quantum groups
Tomasz Brzeziński, Ulrich Krähmer, Réamonn Ó Buachalla +1
Let be a Hopf algebra equipped with a projection onto the coordinate Hopf algebra of a semisimple algebraic group . It is shown that if admits a suitabl…
math.QA2022
Spectral gaps for twisted Dolbeault-Dirac operators over the irreducible quantum flag manifolds
Biswarup Das, Réamonn Ó Buachalla, Petr Somberg
We show that tensoring the Laplace and Dolbeault-Dirac operators of a Kähler structure (with closed integral) by a negative Hermitian holomorphic module, produces operators with sp…
math.QA2022★ 3 cited
Bimodule Connections for Relative Line Modules over the Irreducible Quantum Flag Manifolds
Alessandro Carotenuto, Réamonn Ó Buachalla
It was recently shown (by the second author and Díaz García, Krutov, Somberg, and Strung) that every relative line module over an irreducible quantum flag manifold $\mathcal{O}_q(G…