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Braided Hopf algebras and gauge transformations

Aschieri, Paolo
•
Landi, Giovanni
•
Pagani, Chiara
2024
  • journal article

Periodico
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY
Abstract
We study infinitesimal gauge transformations of K -equivariant noncommutative prin- cipal bundles, for K a triangular Hopf algebra. They form a Lie algebra of derivations in the category of K -modules. We study Drinfeld twist deformations of these infinitesi- mal gauge transformations. We give several examples from abelian and Jordanian twist deformations. These include the quantum Lie algebra of gauge transformations of the 4 instanton bundle and of the orthogonal bundle on the quantum \theta 4-sphere.
DOI
10.1007/s11040-024-09492-x
WOS
WOS:001359481500001
Archivio
https://hdl.handle.net/11368/3098601
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85209779504
https://link.springer.com/article/10.1007/s11040-024-09492-x
Diritti
closed access
license:copyright editore
license uri:iris.pri02
FVG url
https://arts.units.it/request-item?handle=11368/3098601
Soggetti
  • Noncommutative gauge ...

  • Braided Lie algebra

  • Braided derivation

  • Hopf–Galois extension...

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