Braided Hopf Algebras and Gauge Transformations II: $$*$$-Structures and Examples

Author:

Aschieri PaoloORCID,Landi GiovanniORCID,Pagani Chiara

Abstract

AbstractWe consider noncommutative principal bundles which are equivariant under a triangular Hopf algebra. We present explicit examples of infinite dimensional braided Lie and Hopf algebras of infinitesimal gauge transformations of bundles on noncommutative spheres. The braiding of these algebras is implemented by the triangular structure of the symmetry Hopf algebra. We present a systematic analysis of compatible $$*$$ -structures, encompassing the quasitriangular case.

Funder

Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni

Gruppo Nazionale per la Fisica Matematica

Istituto Nazionale di Fisica Nucleare

Università degli Studi del Piemonte Orientale

Università degli Studi di Trieste

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Mathematical Physics

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