128 citations · 194 across the 11 of their papers we have counts for
11 papers
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 note on the super Krichever map
Gregorio Falqui, Cesare Reina, Alessandro Zampa
We consider the geometrical aspects of the Krichever map in the context of Jacobian Super KP hierarchy. We use the representation of the hierarchy based on the Faa` di bruno recurs…
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)…