128 citations · 194 across the 11 of their papers we have counts for
5 papers · 1 filter
Gauged Laplacians on quantum Hopf bundles
Giovanni Landi, Cesare Reina, Alessandro Zampini
We study gauged Laplacian operators on line bundles on a quantum 2-dimensional sphere. Symmetry under the (co)-action of a quantum group allows for their complete diagonalization.…
Noncommutative families of instantons
Giovanni Landi, Chiara Pagani, Cesare Reina +1
We construct -deformations of the classical groups SL(2,H) and Sp(2). Coacting on the basic instanton on a noncommutative four-sphere , we construct a noncommutative fami…
A Hopf bundle over a quantum four-sphere from the symplectic group
Giovanni Landi, Chiara Pagani, Cesare Reina
We construct a quantum version of the SU(2) Hopf bundle . The quantum sphere arises from the symplectic group and a quantum 4-sphere is obtai…
Quantum spin coverings and statistics
Ludwik Dabrowski, Cesare Reina
SL_q(2) at odd roots of unity q^l =1 is studied as a quantum cover of the complex rotation group SO(3,C), in terms of the associated Hopf algebras of (quantum) polynomial functions…
A[Sl_q(2)] at roots of unity is a free module over A[Sl(2)]
Ludwik Dabrowski, Cesare Reina, Alessandro Zampa
It is shown that when q is a primitive root of unity of order not equal to 2 mod 4, A(SL_q(2)) is a free module of finite rank over the coordinate ring of the classical group SL(2)…