
Journal of Lie Theory 17 (2007), No. 2, 357377 Copyright Heldermann Verlag 2007 On Algebraic Torsion Forms and their Spin Holonomy Algebras Niels Bernhardt Dept. of Mathematics, University of Auckland, Private Bag 92019, Auckland, New Zealand niels.bernhardt@math.auckland.ac.nz PaulAndi Nagy Dept. of Mathematics, University of Auckland, Private Bag 92019, Auckland, New Zealand nagy@math.auckland.ac.nz We study holonomy algebras generated by an algebraic element of the Clifford algebra, or equivalently, the holonomy algebras of certain spin connections in flat space. We provide series of examples in arbitrary dimensions and establish general properties of the holonomy algebras under some mild conditions on the generating element. Keywords: Spin connection, spin holonomy algebra. MSC: 53C10, 53C27, 53C29 [ Fulltextpdf (225 KB)] for subscribers only. 