Co-double bosonisation and dual bases of \(c_q[SL_2]\) and \(c_q[SL_3]\)

DOI10.1016/j.jalgebra.2018.09.034zbMath1445.16031arXiv1703.03456OpenAlexW2893540702WikidataQ112881684 ScholiaQ112881684MaRDI QIDQ1630088

Shahn Majid, Ryan Aziz

Publication date: 7 December 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.03456

zbMATH Keywords

Fourier transformquantum groupdualityHopf algebraroots of unitybraided group

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Hopf algebras and their applications (16T05)

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Quantum double aspects of surface code models, Quantum and braided ZX calculus*, Digital quantum groups, Skew braces as remnants of co-quasitriangular Hopf algebras in suplat

Cites Work

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• The structure of Hopf algebras with a projection
• Bar categories and star operations
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Braided matrix structure of the Sklyanin algebra and of the quantum Lorentz group
• Cross products by braided groups and bosonization
• Braided groups and quantum Fourier transform
• Quantum function algebra at roots of 1
• Braided-Lie bialgebras
• New quantum groups by double-bosonisation
• Some remarks on braided group reconstruction and braided doubles
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Hodge star as braided Fourier transform
• Braided groups
• A Frobenius homomorphism for Lusztig’s quantum groups for arbitrary roots of unity
• Doubles of quasitriangular hopf algebras
• Double-bosonization of braided groups and the construction of U_q(g)
• Introduction to quantum groups