Braided symmetries of $SU_{q,\phi}(2)$ and Podle\'s Spheres

Andrzej Sitarz; Rafa{\l} Bistro\'n

arxiv: 2109.14605 · v2 · pith:VONBSRNF · submitted 2021-09-29 · math.QA · math.RA

Braided symmetries of SU_(q,φ)(2) and Podle\'s Spheres

Rafa{\l} Bistro\'n , Andrzej Sitarz This is my paper

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keywords braidedhopfalgebraquantumspheressymmetriesalgebrascompatibility

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We present an explicit form of braided symmetries of the quantum spheres, by introducing a braided quantum Hopf algebra $\cU_{q, \phi}$ and demonstrating that they are braided Hopf modules over this braided Hopf algebra. To obtain this result, we systematically develop braided versions of structures like pairing between Hopf algebras, left module algebra as well as their compatibility with the $*$-structure.

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Braided symmetries of SU_(q,φ)(2) and Podle\'s Spheres

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