Simplex, associahedron, and cyclohedron

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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42 pages, LaTeX, article 12pt + leqno style

Scientific paper

The aim of the paper is to give an `elementary' introduction to the theory of modules over operads and discuss three prominent examples of these objects - simplex, associahedron (= the Stasheff polyhedron) and cyclohedron (= the compactification of the space of configurations of points on the circle). Keywords: (right) module over an operad, module associated to a cyclic operad, Koszul module over an operad.

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