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math.DG1999★ 15 cited
Addendum to "Classification of irreducible holonomies of torsion-free affine connection"
Sergei Merkulov, Lorenz Schwachhöfer
The real form Spin(6,H) in End(R^{32}) of Spin(12,C) in End(C^{32}) is absolutely irreducible and thus satisfies the algebraic identities (40) and (41). Therefore, it also occurs a…
math.DG1999★ 3 cited
Classification of irreducible holonomies of torsion-free affine connections
Sergei Merkulov, Lorenz Schwachhöfer
The subgroups of GL(n,R) that act irreducibly on R^n and that can occur as the holonomy of a torsion-free affine connection on an n-manifold are classified, thus completing the wor…