Two-dimensional fractional supersymmetry from the quantum Poincaré group at roots of unity

1999/03/31 by H. Ahmedov, Hadji Ahmedov, O. F. Dayi +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #math.QA

paper · pdf · doi:10.1088/0305-4470/32/35/303

published as J.Phys.A32:6247-6253,1999 · 10 pages. Some misprints are corrected. To appear in J. Phys. A

arxiv created 1999/08/03 · openalex publication_date 1999/08/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

A group theoretical understanding of the two-dimensional fractional supersymmetry is given in terms of the quantum Poincarégroup at roots of unity. The fractional supersymmetry algebra and the quantum group dual to it are presented and the pseudo-unitary and irreducible representations of them are obtained. The matrix elements of these representations are explicitly constructed.

Cited by

• Some results on cubic and higher order extensions of the Poincaré algebra
• Fractional supersymmetry and hierarchy of shape invariant potentials