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- W4225492769 abstract "We study infinitesimal gauge transformations of an equivariant noncommutative principal bundle as a braided Lie algebra of derivations. For this, we analyse general $K$-braided Hopf and Lie algebras, for $K$ a (quasi)triangular Hopf algebra of symmetries, and study their representations as braided derivations. We then study Drinfeld twist deformations of braided Hopf algebras and of Lie algebras of infinitesimal gauge transformations. We give examples coming from deformations of abelian and Jordanian type. In particular we explicitly describe the braided Lie algebra of gauge transformations of the instanton bundle and of the orthogonal bundle on the quantum sphere $S^4_theta$." @default.
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- W4225492769 date "2022-03-25" @default.
- W4225492769 modified "2023-09-26" @default.
- W4225492769 title "Braided Hopf algebras and gauge transformations" @default.
- W4225492769 doi "https://doi.org/10.48550/arxiv.2203.13811" @default.
- W4225492769 hasPublicationYear "2022" @default.
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