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• W3103573977 abstract "All classical Lie algebras can be realized `a la Schwinger in terms of fermionic oscillators. We show that the same can be done for their $q$-deformed counterparts by simply replacing the fermionic oscillators with anyonic ones defined on a two dimensional lattice. The deformation parameter $q$ is a phase related to the anyonic statistical parameter. A crucial r^ole in this construction is played by a sort of bosonization formula which gives the generators of the quantum algebras in terms of the underformed ones. The entire procedure works even on one dimensional chains; in such a case $q$ can also be real." @default.
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• W3103573977 date "1994-02-07" @default.
• W3103573977 modified "2023-10-17" @default.
• W3103573977 title "q-deformed classical Lie algebras and their anyonic realization" @default.
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• W3103573977 doi "https://doi.org/10.1088/0305-4470/27/3/022" @default.
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