5 papers · 1 filter
On Braided Differential Calculi and Quantum G-structures
Antonio Del Donno, Giovanni Gava, Emanuele Latini +1
We develop a theory of first order differential calculi in braided monoidal categories and classify braided covariant and bicovariant calculi on braided Hopf algebras. We show that…
An infinitesimal deformation of the post-Lie and post-Hopf algebra correspondence
Andrea Rivezzi, Andrea Sciandra, Thomas Weber
We describe infinitesimal deformations of post-Lie algebras and post-Hopf algebras and prove that the adjunction given by the universal enveloping algebra and primitive elements fu…
Noncommutative vector field calculi
Rita Fioresi, Emanuele Latini, Thomas Weber
We discuss noncommutative differential geometry from a vector field centric point of view. This is based on the notion of first order vector field calculus (FOVC), which has been p…
Gauge transformations on quantum principal bundles
Antonio Del Donno, Emanuele Latini, Thomas Weber
We understand quantum principal bundle as faithfully flat Hopf--Galois extensions, with a structure Hopf algebra coacting on a total space algebra and with base algebra given by th…
Quantization of infinitesimal braidings and pre-Cartier quasi-bialgebras
Chiara Esposito, Andrea Rivezzi, Jonas Schnitzer +1
In this paper we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the non-symmetric case. The algebraic counterpart of the…