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

Abstract

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.

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

References in corpus (1)

• Quantum Hall Effect Wave Functions as Cyclic Representations of U_q(sl(2))

Cited by in corpus (6)

• Finite-dimensional Lie algebras of order F
• Fractional supersymmetry and hierarchy of shape invariant potentials
• Fractional Super Lie Algebras and Groups
• Non-Abelian Fractional Supersymmetry in Two Dimensions
• Some Results on Cubic and Higher Order Extensions of the Poincaré Algebra
• Quantum Group Covariance and the Braided Structure of Deformed Oscillators