Two-parameter differential calculus on the h-superplane

Details Two-parameter differential calculus on the h-superplane Two-parameter differential calculus on the h-superplane

2001-12-13

arxiv.org/abs/math/0112139v1

J. Math. Phys. 40 (1999), 5998-6008

Mathematics

Quantum Algebra

14 pages

Scientific paper

10.1063/1.533066

We introduce a noncommutative differential calculus on the two-parameter
$h$-superplane via a contraction of the (p,q)-superplane. We manifestly show
that the differential calculus is covariant under $GL_{h_1,h_2}(1| 1)$
transformations. We also give a two-parameter deformation of the
(1+1)-dimensional phase space algebra.

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