The $q$-calculus for generic $q$ and $q$ a root of unity

Details The $q$-calculus for generic $q$ and $q$ a root of unity The $q$-calculus for generic $q$ and $q$ a root of unity

1996-08-30

arxiv.org/abs/q-alg/9609002v1

Czech.J.Phys. 46 (1996) 1235-1242

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTeX, submitted to Proceedings of the 5th Colloquium `Quantum groups and integrable systems', Prague, June 1996 (to

Scientific paper

10.1007/BF01690338

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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