Irreducible holonomy representations. (Q2722340)

This is a nice survey of the problem of classification of the irreducible holonomy groups of torsion free affine connections. This classification was finally obtained by \textit{S. Merkulov} and the author [Ann. Math. (2) 150, 77--149 (1999; Zbl 0992.53038); Oxford University Press. 395--402 (1998; Zbl 0907.53018)]. In this paper the author in particular stresses his attention on the Merkulov twistor space associated to each holomorphic torsion free connection on a complex manifold and construction of special symplectic holonomies introduced by Chi, Merkulov, and the author.NEWLINENEWLINEFor the entire collection see [Zbl 0961.00020].