Algebraic structure of the Green's ansatz and its q-deformed analogue
T. D. Palev
TL;DR
This paper explores the algebraic structure of Green's ansatz and extends it to q-deformed para-Bose and para-Fermi operators, revealing underlying Lie (super)algebraic properties of parastatistics.
Contribution
It provides a clear algebraic framework for understanding Green's ansatz and its q-deformed generalization using Lie (super)algebraic methods.
Findings
Green's ansatz algebraic structure analyzed
Extension to q-deformed para-Bose and para-Fermi operators demonstrated
Underlying Lie (super)algebraic properties identified
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.
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