Algebraic structure of the Green's ansatz and its q-deformed analogue

Abstract

The algebraic structure of the Green's ansatz is analyzed in such a way that its generalization to the case of q-deformed para-Bose and para-Fermi operators is becoming evident. To this end the underlying Lie (super)algebraic properties of the parastatistics are essentially used.

plain TeX, Preprint INRNE-TH-94/4, 13 p

References in corpus (5)

• Para-Statistics as Lie-super Triple Systems
• Quantization of U_q[so(2n+1)] with deformed para-Fermi operators
• q-def oscillator associated with Calogero model and its q-coherent state
• On a possible algebra morphism of U${}_q$[OSP(1/2N)] onto the deformed oscillator algebra W${}_q$(N)
• A Superalgebra Morphism of Uq[OSP(1/2N)] onto the Deformed Oscillator Superalgebra Wq(N)

Cited by in corpus (4)

• Paraboson quotients. A braided look at Green ansatz and a generalization
• Hopf Structure and Green Ansatz of Deformed Parastatistics Algebras
• Interpretation and Extension of the Green's Ansatz for Paraparticles
• Unitarizable Representations of the Deformed Para-Bose Superalgebra Uq[osp(1/2)] at Roots of 1