How to find the holonomy algebra of a Lorentzian manifold
As it is well known, manifolds with exceptional holonomy play an important role in string theory, supergravity and \(M\)-theory. In the paper under review, the author explains how one can find the holonomy algebra of an arbitrary Riemannian or Lorentzian manifold. Using the de Rham and Wu decompositions, this problem is reduced to the case of locally indecomposable manifolds (see also the previous paper by the author [Classical Quantum Gravity 31, No. 13, Article ID 135007, 13 p. (2014; Zbl 1301.53043)]).
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