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math.QA2023
Lusztig's Quantum Root Vectors and a Dolbeault Complex for the A-Series Full Quantum Flag Manifolds
Réamonn Ó 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…
math.QA2023
Curvature of positive relative line modules over the quantum projective spaces
Andrey O. Krutov, Réamonn Ó Buachalla
We show that the curvature of a positive relative line module over quantum projective space is given by -integer deformation of its classical curvature. This generalises a resul…