On a generalization of Massey products (Q1025740)

In the paper under review, the author generalizes the Massey product. The Massey product has been generalized by several authors, e.g, the Massey higher product by Kraines, and the matrix Massey product by May. To give a new generalization the author uses special graphs called hammock. Then the author shows that the Massey higher product of order \(n\) is described by a linear directed graph with \(n\)-arcs, and the matrix Massey product is described by gluing linearly special directed graphs. The author also shows basic formulae for the hammock Massey product such as linearity, associativity and Jacobi identity.