Braided symmetries of SU_q,ϕ(2) and Podleś Spheres

2021/09/29 by Rafał Bistroń, Bistroń, Rafał, Andrzej Sitarz +1
Mathematics · Physics and Astronomy · #16T05 #17B37 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2109.14605

openalex publication_date 2021/09/29 · openalex created_date 2021/10/11 · openalex updated_date 2026/07/28

Abstract

We present an explicit form of braided symmetries of the quantum spheres, by introducing a braided quantum Hopf algebra \cU_{q, ϕ} 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.

Citations

• Introduction to Braided Geometry and q-Minkowski Space

Related

• Podleś Spheres for the Braided Quantum SU(2)
• On Braided Quantum Groups
• Algebras and Hopf Algebras in Braided Categories
• Braided Symmetric Algebras of Simple U_q(sl₂)-Modules and Their Geometry
• The Quantum Double as Quantum Mechanics