5 papers
Torsion-Free Bimodule Connections and the Maximal Prolongation of a First-Order Differential Calculus
Alessandro Carotenuto, Antonio Del Dono, Réamonn à Buachalla +1
We give an unexpectedly simple presentation of the maximal prolongation of a first-order differential calculus in terms of the bimodule map of a torsion-free bimodule connection. W…
Lusztig's Quantum Root Vectors and a Dolbeault Complex for the A-Series Full Quantum Flag Manifolds
Réamonn à Buachalla, Petr Somberg
For the Drinfeld-Jimbo quantum enveloping algebra , we show that the span of Lusztig's positive root vectors, with respect to Littlemann's nice reduced decomp…
Noncommutative Complex Structures for the Full Quantum Flag Manifold of Quantum SU(3)
Alessandro Carotenuto, Réamonn à 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…
Levi-Civita connection on the irreducible quantum flag manifolds
Jyotishman Bhowmick, Bappa Ghosh, Andrey O. Krutov +1
We classify covariant metrics (in the sense of Beggs and Majid) on a class of quantum homogeneous spaces. In particular, our classification implies the existence of a unique (up to…
A remark on the Hochschild dimension of liberated quantum groups
Tomasz BrzeziÅski, Ulrich Krähmer, Réamonn à 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…