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On the construction of generalized Grassmann representatives of state vectors

M. El Baz, Y. Hassouni

math-pharXiv:math-ph/0409038

Abstract

Generalized Zk-graded Grassmann variables are used to label coherent states related to the nilpotent representation of the q-oscillator of Biedenharn and Macfarlane when the deformation parameter is a root of unity. These states are then used to construct generalized Grassmann representatives of state vectors.

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