2 citations · 3 across the 3 of their papers we have counts for
4 papers
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…
On a quantum version of Ellis joint continuity theorem
Biswarup Das, Colin Mrozinski
We give a necessary and sufficient condition on a compact semitopological quantum semigroup which turns it into a compact quantum group. In particular, we obtain a generalisation o…
Quantum automorphism groups and SO(3)-deformations
Colin Mrozinski
We show that any compact quantum group having the same fusion rules as the ones of is the quantum automorphism group of a pair , where is a finite dimensional $…
Quantum groups of GL(2) representation type
Colin Mrozinski
We classify the cosemisimple Hopf algebras whose corepresentation semi-ring is isomorphic to that of GL(2). This leads us to define a new family of Hopf algebras which generalize t…