Podleś spheres for the braided quantum SU(2)

Sołtan, Piotr M.

doi:10.1016/j.laa.2020.01.011

Linear Algebra and its Applications

2020

DOI: 10.1016/j.laa.2020.01.011

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Podleś spheres for the braided quantum SU(2)

Piotr M. Sołtan

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Cited by 2 publications

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Quantum E(2) groups for complex deformation parameters

Rahaman

Roy

2021

Rev. Math. Phys.

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We construct a family of [Formula: see text] deformations of E(2) group for nonzero complex parameters [Formula: see text] as locally compact braided quantum groups over the circle group [Formula: see text] viewed as a quasitriangular quantum group with respect to the unitary [Formula: see text]-matrix [Formula: see text] for all [Formula: see text]. For real [Formula: see text], the deformation coincides with Woronowicz’s [Formula: see text] groups. As an application, we study the braided analogue of the contraction procedure between [Formula: see text] and [Formula: see text] groups in the spirit of Woronowicz’s quantum analogue of the classic Inönü–Wigner group contraction. Consequently, we obtain the bosonization of braided [Formula: see text] groups by contracting [Formula: see text] groups.

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Quantum E(2) groups for complex deformation parameters

Rahaman

Roy

2021

Rev. Math. Phys.

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Braided quantum symmetries of graph C∗-algebras

Bhattacharjee,

Joardar,

Roy

2024

Int. J. Math.

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We prove the existence of a universal braided compact quantum group acting on a graph [Formula: see text]-algebra in the category of [Formula: see text]-[Formula: see text]-algebras with a twisted monoidal structure, in the spirit of the seminal work of Wang. To achieve this, we construct a braided analogue of the free unitary quantum group and study its bosonization. As a concrete example, we compute this universal braided compact quantum group for the Cuntz algebra.

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Podleś spheres for the braided quantum SU(2)

Cited by 2 publications

References 25 publications

Quantum E(2) groups for complex deformation parameters

Quantum E(2) groups for complex deformation parameters

Braided quantum symmetries of graph C∗-algebras

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