122 citations · 1.1k across the 61 of their papers we have counts for
62 papers
Hopf algebroids and twists for quantum projective spaces
Ludwik Dabrowski, Giovanni Landi, Jacopo Zanchettin
We study the relationship between antipodes on a Hopf algebroid in the sense of Böhm-Szlachanyi and the group of twists that lies inside the associated convolution al…
Real Spectral Triples on Crossed Products
Alessandro Rubin, Ludwik Dabrowski
Given a spectral triple on a unital -algebra and an equicontinuous action of a discrete group on , a spectral triple on the reduced crossed product -algebr…
Twisted reality and the second-order condition
Ludwik Dabrowski, Francesco D'Andrea, Adam M. Magee
An interesting feature of the finite-dimensional real spectral triple (A,H,D,J) of the Standard Model is that it satisfies a ``second-order'' condition: conjugation by J maps the C…
Spectral triples with multitwisted real structure
Ludwik Dabrowski, Andrzej Sitarz
We generalize the notion of spectral triple with reality structure to spectral triples with multitwisted real structure, the class of which is closed under the tensor product compo…
Fermion masses, mass-mixing and the almost commutative geometry of the Standard Model
Ludwik Dabrowski, Andrzej Sitarz
We investigate whether the Standard Model, within the accuracy of current experimental measurements, satisfies the Hodge duality condition introduced and studied in Dabrowski, D'An…
Spin geometry of the rational noncommutative torus
Alessandro Carotenuto, Ludwik Dabrowski
The twined almost commutative structure of the standard spectral triple on the noncommutative torus with rational parameter is exhibited, by showing isomorphisms with a spectral tr…