Two Dimensional Fractional Supersymmetry from the Quantum Poincare Group at Roots of Unity

Details Two Dimensional Fractional Supersymmetry from the Quantum Poincare Group at Roots of Unity Two Dimensional Fractional Supersymmetry from the Quantum Poincare Group at Roots of Unity

1999-03-16

arxiv.org/abs/math/9903093v2

J.Phys.A32:6247-6253,1999

Mathematics

Quantum Algebra

10 pages. Some misprints are corrected. To appear in J. Phys. A

Scientific paper

10.1088/0305-4470/32/35/303

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

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