On the q-deformed circular imaginary unit and hyperbolic imaginary unit: q-deformed rotation in two dimension and q-deformed special relativity in 1 + 1 dimension

DOI10.1142/S0219887817500578zbMath1410.11011OpenAlexW2562598484MaRDI QIDQ2977778

Jaeyoon Kim, Won-Sang Chung

Publication date: 20 April 2017

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887817500578

zbMATH Keywords

\(q\)-deformed circular imaginary unit\(q\)-deformed hyperbolic imaginary unit

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Special relativity (83A99)

Cites Work

• Unnamed Item
• \(n\)-dimensional hyperbolic complex numbers
• Complex algebras on \(n\)-order polynomials and generalizations of trigonometry, oscillator model and Hamilton dynamics
• Trigonometry in Lorentzian Geometry
• Trigonometry of spacetimes: a new self-dual approach to a curvature/signature (in)dependent trigonometry

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