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This is a Experimental Study study.

September 20, 2025Open Access

Dual κ-Minkowski spaces and κ-Poincaré algebras from Yang model and their Weyl realizations

Puntos clave

Dual κ-minkowski spaces and κ-poincaré algebras derived from Yang algebras expand our understanding of metric structures.
Coproduct, star product, and twist are computed based on metric g, revealing new relationships in algebraic structures.
The analysis utilizes Weyl realizations to bridge classical algebra with the newly derived structures.
Reduced κ-minkowski and κ-poincaré algebras are constructed as special cases, highlighting specific applications.

Resumen

We consider the Yang algebras isomorphic to o(1, 5), o(2, 4), o(3, 3) and derive dual κ-Minkowski and κ-Poincaré algebras in terms of a metric g. The corresponding Weyl realization is presented and coproduct, star product, and twist are computed in terms of the metric g. Finally, we construct reduced κ-Minkowski and κ-Poincaré algebras as special cases.

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