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Homotopy derivations

Publikace na Matematicko-fyzikální fakulta |
2016

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

We define a strong homotopy derivation of (cohomological) degree k of a strong homotopy algebra over an operad. This involves resolving the operad obtained from by adding a generator with "derivation relations".

For a wide class of Koszul operads , in particular and , we describe the strong homotopy derivations by coderivations and show that they are closed under the Lie bracket. We show that symmetrization of a strong homotopy derivation of an algebra yields a strong homotopy derivation of the symmetrized algebra.

We give examples of strong homotopy derivations generalizing inner derivations.