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arxiv: math/0601698 · v1 · pith:HZ72X6FBnew · submitted 2006-01-28 · 🧮 math.QA · math-ph· math.MP

On the q-analogue of the Maurer-Cartan equation

classification 🧮 math.QA math-phmath.MP
keywords equationdifferentialmaurer-cartanalgebraanaloguecoefficientsconsidercontrolled
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We consider deformations of the differential of a $q$-differential graded algebra. We prove that it is controlled by a generalized Maurer-Cartan equation. We find explicit formulae for the coefficients $c_k$ involved in that equation.

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