TY - JOUR
T1 - Lorentz Covariant k-Minkowski Spacetime
JF - Phys. Rev. D 81 (2010) 125024
Y1 - 2010
A1 - Ludwik Dabrowski
A1 - Michal Godlinski
A1 - Gherardo Piacitelli
AB - In recent years, different views on the interpretation of Lorentz covariance of non commuting coordinates were discussed. Here, by a general procedure, we construct the minimal canonical central covariantisation of the k-Minkowski spacetime. We then show that, though the usual k-Minkowski spacetime is covariant under deformed (or twisted) Lorentz action, the resulting framework is equivalent to taking a non covariant restriction of the covariantised model. We conclude with some general comments on the approach of deformed covariance.
UR - http://hdl.handle.net/1963/3829
U1 - 498
U2 - Mathematics
U3 - Mathematical Physics
ER -
TY - RPRT
T1 - Local Index Formula on the Equatorial Podles Sphere
Y1 - 2006
A1 - Francesco D'Andrea
A1 - Ludwik Dabrowski
AB - We discuss spectral properties of the equatorial Podles sphere. As a preparation we also study the `degenerate\\\' (i.e. $q=0$) case (related to the quantum disk). We consider two different spectral triples: one related to the Fock representation of the Toeplitz algebra and the isopectral one....
JF - Lett. Math. Phys. 75 (2006) 235-254
UR - http://hdl.handle.net/1963/1782
U1 - 2762
U2 - Mathematics
U3 - Mathematical Physics
ER -
TY - JOUR
T1 - The local index formula for SUq(2)
JF - K-Theory 35 (2005) 375-394
Y1 - 2005
A1 - Walter van Suijlekom
A1 - Ludwik Dabrowski
A1 - Giovanni Landi
A1 - Andrzej Sitarz
A1 - Joseph C. Varilly
AB - We discuss the local index formula of Connes-Moscovici for the isospectral noncommutative geometry that we have recently constructed on quantum SU(2). We work out the cosphere bundle and the dimension spectrum as well as the local cyclic cocycles yielding the index formula.
UR - http://hdl.handle.net/1963/1713
U1 - 2438
U2 - Mathematics
U3 - Mathematical Physics
ER -