dorsal/arxiv
View SchemaThe $q$-calculus for generic $q$ and $q$ a root of unity
| Authors | R. S. Dunne, A. J. Macfarlane, J. A. de Azcárraga, J. C. Pérez Bueno |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9609002 |
| URL | https://arxiv.org/abs/q-alg/9609002 |
| DOI | 10.1007/BF01690338 |
| Journal | Czech.J.Phys. 46 (1996) 1235-1242 |
Abstract
The $q$-calculus for generic $q$ is developed and related to the deformed oscillator of parameter $q^{1/2}$. By passing with care to the limit in which $q$ is a root of unity, one uncovers the full algebraic structure of ${{\cal Z}}_n$-graded fractional supersymmetry and its natural representation.
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"abstract": "The $q$-calculus for generic $q$ is developed and related to the deformed\noscillator of parameter $q^{1/2}$. By passing with care to the limit in which\n$q$ is a root of unity, one uncovers the full algebraic structure of ${{\\cal\nZ}}_n$-graded fractional supersymmetry and its natural representation.",
"arxiv_id": "q-alg/9609002",
"authors": [
"R. S. Dunne",
"A. J. Macfarlane",
"J. A. de Azc\u00e1rraga",
"J. C. P\u00e9rez Bueno"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1007/BF01690338",
"journal_ref": "Czech.J.Phys. 46 (1996) 1235-1242",
"title": "The $q$-calculus for generic $q$ and $q$ a root of unity",
"url": "https://arxiv.org/abs/q-alg/9609002"
},
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