26 citations · 33 across the 8 of their papers we have counts for
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Braided coproduct, antipode and adjoint action for
Pavle Pandžić, Petr Somberg
Motivated by our attempts to construct an analogue of the Dirac operator in the setting of , we write down explicitly the braided coproduct, antipode, and adj…
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…
Holomorphic Relative Hopf Modules over the Irreducible Quantum Flag Manifolds
Fredy Díaz García, Andrey Krutov, Réamonn Ó Buachalla +2
We construct covariant -deformed holomorphic structures for all finitely-generated relative Hopf modules over the irreducible quantum flag manifolds endowed with their Heckenber…
A Dolbeault-Dirac Spectral Triple for Quantum Projective Space
Biswarup Das, Réamonn Ó Buachalla, Petr Somberg
The notion of a Kähler structure for a differential calculus was recently introduced by the second author as a framework in which to study the noncommutative geometry of the quantu…