Construction of graded differential algebra with ternary differential

Details Construction of graded differential algebra with ternary differential Construction of graded differential algebra with ternary differential

2005-09-09

arxiv.org/abs/math-ph/0509015v1

Physics

Mathematical Physics

10 pages. This version will be published in Contemporary Mathematics (Proc. of Conference on "Non-commutative Geometry in Math

Scientific paper

In this article, we describe the construction of graded $q$-differential
algebra with ternary differential satisfying the property $d^3=0$ and the
$q$-Leibniz rule. Our starting point is coordinate first order differential
calculus on some complex algebra and the corresponding bimodule of second order
differentials.

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