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Braided Hopf algebras and gauge transformations II: -structures and examples
Paolo Aschieri, Giovanni Landi, Chiara Pagani
We consider noncommutative principal bundles which are equivariant under a triangular Hopf algebra. We present explicit examples of infinite dimensional braided Lie and Hopf algebr…
Noncommutative gauge and gravity theories and geometric Seiberg-Witten map
Paolo Aschieri, Leonardo Castellani
We give a pedagogical account of noncommutative gauge and gravity theories, where the exterior product between forms is deformed into a -product via an abelian twist (e.g. t…
Metric compatibility and Levi-Civita Connections on Quantum Groups
Paolo Aschieri, Thomas Weber
Arbitrary connections on a generic Hopf algebra are studied and shown to extend to connections on tensor fields. On this ground a general definition of metric compatible connec…
Braided Hopf algebras and gauge transformations
Paolo Aschieri, Giovanni Landi, Chiara Pagani
We study infinitesimal gauge transformations of an equivariant noncommutative principal bundle as a braided Lie algebra of derivations. For this, we analyse general -braided Hop…