The free tracial pre-Lie-Rinehart algebra

26.01.2024, 11:00  –  Zoom Meeting
Arbeitsgruppenseminar Analysis

Dominique Manchon (Clermont-Ferrand) - Online

Tracial Lie-Rinehart algebras are a purely algebraic version of finite-dimensional Lie algebroids, for which the trace is given fibrewise. A tracial Lie-Rinehart algebra is pre-Lie if moreover both torsion and curvature vanish. The simplest example is given by the tangent bundle the smooth manifold R^d, the trace being given by the divergence of vector fields. We shall describe in this talk the free tracial pre-Lie-Rinehart algebra in terms of aromatic rooted trees.
Joint work with Gunnar Fløystad and Hans Z. Munthe-Kaas

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