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Differential calculus on the h-superplane

2001/12/31 by Salih Celik, Sultan A. Celik, Metin Arik
Mathematics · #math.QA #math.DG #msc:17B37 #msc:81R60

paper · pdf

published as J. Math. Phys. 39 (1998), 3126-3436 · 14 pages

arxiv created 2002/01/25 · arxiv updated 2009/11/30

Abstract

A non-commutative differential calculus on the h-superplane is presented via a contraction of the q-superplane. An R-matrix which satisfies both ungraded and graded Yang-Baxter equations is obtained and a new deformation of the (1+1) dimensional classical phase space (the super-Heisenberg algebra) is introduced.

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